All categories

2 years ago

What are the roots of the equation 16x2 – 64x + 65 = 0 in simplest a + bi form?

Mathematics

1 answer:

Semenov [28]2 years ago

8 0

Step-by-step explanation:

$16 \times 2 - 64x + 65 = 0 \\ 97 - 64x = 0 \\ - 64x = - 97 \\ divide \: both \: side \: by \: - 64 \\ x = \frac{97}{64}$

You might be interested in

samuel takes 5 coolers to his basketball game each cooler holds 9 liters of water how many liters of water altogether did he tak

alekssr [168]

5 times 9 equals 45. The answer is 45

3 0

3 years ago

Read 2 more answers

A rectangular rug has an area of 84 square feet. If its length is 2 feet more than twice its width, find the dimensions of the

weeeeeb [17]

L=2W+2

W=(L-2)/2

A=LW, using W from above makes this

A=L(L-2)/2

2A=L^2-2L

L^2-2L-2A=0, given A=84

L^2-2L-168=0

(L-14)(L+12)=0, since L>0

L=14

The length of the rug is 14 ft

(W=(L-2)/2=6 ft)

3 0

2 years ago

There are 6 male ducks and 2 female ducks in a small group. What is the equivalent ratio of males to females?

Kazeer [188]

the answer would be 3:1

7 0

3 years ago

The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

8 0

3 years ago

What is the answer for this 2\5+m=5\6

Bingel [31]

Answer:

m=25/12

Step-by-step explanation:

multiply the reciprocal of 2/5 on both sides

6 0

2 years ago