What are the roots of the equation 16x² + 16x + 5 = 0 in simplest a + bi form?​

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

Using the quadratic formula :

roots =  [-16 +/-√(16^2 - 4*16*5)] / (2*16)

= -0.5 +/- √(-64) /32

= -0.5 +/- 8i/32

= -0.5 + 0.25i and -0.5 - 0.25i

Answer 2

[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]

[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]

[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]


Related Questions

What is the slope of the equation Y= 5/4 x - 7/4?

a. -7

b. -7/4

c. 5/4

d. 5

Answers

Answer:

a

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Hello everyone, I was wondering what 50+8x2 is for my project that I am doing. Thanks

Answers

Answer:

66

Step-by-step explanation:

Multiplying 8 by 2 which gives you 16.

Then 16 Add 50 = 66

a square has a diagonal length of 10 meters. How long is the side of the square?

Answers

Answer:

5 × √2 or 7,071067811865475

Step-by-step explanation:

the diagonal of a square splits the square into 2 right triangles. So we can use Pythagorean's theorem.

where c is the hypotenuse. So the diagonal is the hypotenuse here, and thus c = 10. Now, since we are dealing with a square, all the sides are the same length, so a = b. So we have:

a² + a² = c²

2a² = 100

a² = 50

a = √50

a = 5 × √2 or 7,071067811865475

--------------------------

Answer: 50

Step-by-step explanation  :<

Ms. Suzuki is buying soda for the pizza party her class earned. She estimates that each of her
24 students will drink 250 milliliters of soda on average. How many 2-liter bottles of soda
should she buy?

Answers

Answer:

6

Step-by-step explanation:

250 mL is 0.25 L or 1/4 L.

1 L is enough for 4 students.

A 2-L bottles is enough for 8 students.

Since 24 students is 3 times 8 students, you need 3 times a 2-liter bottle.

Answer: 3

HELPPP PLZ I NEED TO PASS ‼️‼️‼️‼️‼️‼️

Answers

answer to 3:
slope intercept form is mx+b
answer: 5/4x+2

answer to 4:
i’ve never heard of Ax+By=C form so I can’t help you there

answer to 5:
mx+b
answer: 5/2x-9

I need it right now .

Answers

Answer:

y=9

a=1.5

n=74

v=8

k=11

a. y=14
b. a=6.5
c. n=-226
d. v=12
e. k=11

Rearrange v=u+at to make t the subject of formula.
A. t=(u-v)/(a)
B. t=(v-u)/(a)
C. t=(u+v)/(a)
D. t=(v+u)/(a)

Answers

Answer:

t=(v-u)/a

hope it will help you

-8 less than a number is no more than 12

Answers

Answer:

-8 < x ≤ 12

Step-by-step

-8 less than a number would give you

-8 <

a number no more than 12 would give you

x ≤ 12

giving x because we dont know what the number is-

so your full anser would be-

-8 < x ≤ 12

Can someone please help I will give you 30 points and brainliest if the answer is right also no links please

Answers

Answer:

B: BC ≅EC

Step-by-step explanation:

You know that the two angles starting in C are congruent (they're opposite by vertex C).

Given that the B angle and the E angle are congruent, in order for the two triangles to be congruent by A(ngle)S(ide)A(ngle) you want the side inbetween to be congruent. That is BC and EC. Option B

Use properties to evaluate (-25) HIS O A. – 15 5 O B. 5 C. - OC. 15 O D. 1​

Answers

Answer:

-15/4

Step-by-step explanation:

Answer: Its - 15/4 or 05/12 but the person above me is correct

Step-by-step explanation:

Hello please help me with this question

Answers

The answer to this question is 5589

If the simple interest on 4,000 for 10 years is 2,400 then what is the interest rate

Answers

Answer:

6%

Step-by-step explanation:

I =Prt I being interest paid, P is Principal, r is rate, t is term

2400=4000x r x 10

2400=40000r

2400/40000=.06 convert to percentage by multiplying by 100 x. 06=6

Tim planted a tree that was 0.17 feet tall. After 6 years, the tree was 100 times as tall as when he planted it. what is the height of the tree after 6 years?

Answers

Answer:

17 feet tall

Step-by-step explanation:

0.17 x 100 is 17

solve pls brainliest

Answers

Step-by-step explanation:

first you need m and m is -15/5 that means -3

your function is mx =y so your function is -3x= y

5 / 1 - 15 :) !!!$!!!

Suppose that a department contains 7 men and 15 women. How many ways are there to form a committee with six members if it must have more women than men

Answers

Answer:

7502040

Step-by-step explanation:

you can have 6 women,5 women and 1 men,4 women and 2 men,

in first case,you can place women in 15*14*13*12*11*10 ways

in second case

15*14*13*12*11*7

and in third case

15*14*13*12*7*6

and you need to sum all this numbers

The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?
×-(×+4)=52
×+(×+4)=52
×(×+4)=52
×(×-4)=52​

Answers

Answer:Let's assume x be the smaller number.

Given that, The greater number is 4 more than the smaller number.

So, greater number= x+4.

It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,

x + (x + 4) = 52

Step-by-step explanation:

word problem 3/4 ÷3/8

Answers

[tex] \frac{3}{4} \div \frac{3}{8} = \\ [/tex]

[tex] \frac{3}{4} \times \frac{8}{3} = \\ [/tex]

[tex] \frac{8}{4} = \\ [/tex]

[tex]2[/tex]

What is the solution to the system of equations?y = a system of equations. Y equals startfraction one-third endfraction minus 10. 2 x plus y equals 4. X – 102x y = 4(–8, 6)(–6, 16)(6, –8)(16, –6).

Answers

Good job just needs a little more work

Answer: C

Step-by-step explanation:

Is there a value of x that makes each of the following equalities true? If there is, find it.
a. √x-3=0
b. √x=-10
c. √x+1=0
d. √x=0.1

Answers

Step-by-step explanation:

a. √x - 3 = 0 ⇒ √x = 3 ⇒ x = 3² ⇒ x = 9 b. √x = -10,

no solution as √x is a positive value

c. √x+1=0 ⇒ √x = - 1,

no solution as √x is a positive value

d. √x = 0.1 ⇒  x = 0.1² ⇒ x = 0.01

#1

√x-3=0x-3=0x=3

If square root is over x only x=3²=9

#2

No solutions as -10 is <0

#3

√x+1=0x+1=0x=-1

If root is over x only then no solutions

#4

√x=0.1

x=0.01

9 is what percent of 45?​

Answers

Answer:

20%

Step-by-step explanation:

9/45 = 0.2

0.2*100 = 20

9:45*100 =

( 9*100):45 =

900:45 = 20

So it’s 20

Write an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72

Answers

Step-by-step explanation:

as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)

we know that f(62)=-490 so a= -0.7

so f(x)= -0.7(x+8)(x-72)

Is the expression 8 x 85 equivalent to (8 X 835? Explain.

pls help I'm dying lol

Answers

[tex]8 \times 835 = 6680[/tex]

Answer:

the answer will be 6680

Please help I need to show my work

Answers

is your test online or on paper? how would you show work. i’ll comment the answer on this

The elevators in an office building have been approved for a maximum load of 3,600 pounds.

Can the elevator hold a weight of exactly 3,600 lbs? If w = weight in elevator, what should the inequality look like?

Plz help thx.

Answers

Answer:

w [tex]\leq[/tex] 3,600

Step-by-step explanation:

[tex]\leq[/tex]  means less than or equal to.

How to graph an equation.

Answers

Answer:

Below

Step-by-step explanation:

To graph an equation, we must have a y-intercept and a slope. Now, our equation is y = mx + b

We just replace the slope with 'm' and the y-intercept with 'b'. Let's say that our slope is 4 and y-intercept is 5. Then our equation will be y = 4x + 5.

Hoped this helped.

Find the equation of the line that passes through the given points, in Slope-Intercept Form. (-2, -7) and (3, 8)

Answers

Answer:

y=3x-1

Step-by-step explanation:

m=y2-y1/x2-x1

m=8-(-7)/3-(-2)

m=8+7/3+2

m=15/5

m=3

y-y1=m(x-x1)

y-(-7)=3(x-(-2)

y+7=3(x+2)

y+7=3x+6

y=3x+6-7

y=3x-1

Can anyone help me with this question please I really need help please I’ll mark as brainliest

Answers

Answer:

[tex]f(x)=-11\times(7^x^-^1)[/tex]

Step-by-step explanation:

Stare at the numbers. Especially the first two. First one is -11. Second is [tex]-11\times 7[/tex]. Let's guess you keep multiplying. [tex]-77\times 7=-539[/tex]. Smells correct, let's confirm with the last one: [tex]-539\times7 = -3773[/tex]. I think we found a pattern. Each element is 7 times the previous one. With some practice you can just write the function, else let's divide by -11 away and let's see what we get:

[tex]f(1) = 1=7^0; f(2)=7; f(3)=7^2; f(4)=7^3[/tex]. Basically, the exponent is 1 less than the value we're evaluating the function. That leads tho the following

[tex]f(x)=-11\times(7^x^-^1)[/tex]

A survey was given to a random sample of 80 residents of a town to determine
whether they support a new plan to raise taxes in order to increase education
spending. Of those surveyed, 40 respondents said they were in favor of the plan.

Answers

Answer:

sorry i dont quite understand your question .

Ratio would be 1/2 or 50:100 in terms to 40:80

Step-by-step explanation:

if this was more or less of a GOVT question for history or law class then the answer would be " If no candidate for president receives an absolute majority of the electoral votes, pursuant to the 12th Amendment, the House of Representatives is required to go into session immediately to choose a president from among the three candidates who received the most electoral votes. "

which one is correct
a.
b.
c.

Answers

I am pretty sure it is b sorry if wrong

help ! which of the following are the roots of the given quadratic equation ?

[tex]2 {x}^{2} + 18x + 36 = 0[/tex]
a. 6

b. -6

c. 3

d. -3..​

Answers

Answer:

The roots are {-6, -3}

Step-by-step explanation:

We are given four possible roots.  To determine whether or not a particular possible root is actually a root, we use synthetic division.  If the remainder is zero, we may conclude that this is actually a root.

Determine whether or not -3 is a root.  Setting up synthetic division, we get

-3  /  2    18     36

              -6    -36

     ---------------------

      2       12     0

Since the remainder is zero, -3 is a root.

Try -6:  Is this a root of 2x + 12?  Setting up synthetic division, we get

-6    /    2     12

                  -12

      ----------------

          2        0

The remainder is again zero, so -6 is also a root of the original equation.

The roots are {-6, -3}

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choices are ~

b and d

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex]2 {x}^{2} + 18 {x}^{} + 36 = 0[/tex]

[tex]2 {x}^{2} + 12x + 6x + 36 = 0[/tex]

[tex]2x(x + 6) + 6(x + 6) = 0[/tex]

[tex](2x + 6)(x + 6) = 0[/tex]

There's two cases here,

Case # 1 - when 2x + 6 = 0

[tex]2x + 6 = 0[/tex]

[tex]2x = - 6[/tex]

[tex]x = - 6 \div 2[/tex]

[tex]x = - 3[/tex]

Case # 2 - when x + 6 = 0

[tex]x + 6 = 0[/tex]

[tex]x = - 6[/tex]

Hence, the roots are -3 and -6 ~

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