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3 years ago

How do you solve this quadratic equation by completing the square?

Mathematics

1 answer:

iogann1982 [59]3 years ago

8 0

Answer:

The answer would be 2 +/- √-2

Step-by-step explanation:

In order to complete the square, we have to start by getting all of the constants to the right side.

k^2 - 4k + 1 = -5

k^2 - 4k = -6

Now we need to take the k coefficient (-4) and cut it in half (-2). Now we square that number (4) and add it to both sides

k^2 - 4k + 4 = -6 + 4

k^2 - 4k + 4 = -2

Now we can factor the left side and solve.

(k - 2)^2 = -2 ----> take the square root of both sides

k - 2 = +/- √-2

k = 2 +/- √-2

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3 years ago

Determine the volume of the cylinder

vova2212 [387]

Answer:

V = πr²h

To determine the volume of a cylinder you have to multiply the area of the base by the height of the cylinder.

Step-by-step explanation:

The base of a cylinder is a circle. So we must find the area of the circle first. (Which is πr²)

Then we multiply the height by the area of the circle.

V = π·r²·h

This can be used in different ways as well,

if we don't know the radius but know everything else we could use the formula:

$r=\sqrt{\frac{V}{\pi*h} }$ (r = √(V/πh))

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(h = V/(πr²))

3 0

3 years ago

joja [24]

Answer:

x² - 16

Step-by-step explanation:

Given

(x - 4)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) - 4(x + 4) ← distribute both parenthesis

= x² + 4x - 4x - 16 ← collect like terms

= x² - 16

6 0

4 years ago

-0.5g + 13 = 3g<br> Solve the equation

mel-nik [20]

Answer:

13+3g=2g

We simplify the equation to the form, which is simple to understand

13+3g=2g

We move all terms containing g to the left and all other terms to the right.

+3g-2g=-13

We simplify left and right side of the equation.

+1g=-13

We divide both sides of the equation by 1 to get g.

g=-13

Step-by-step explanation:

13+3g=2g

We simplify the equation to the form, which is simple to understand

13+3g=2g

We move all terms containing g to the left and all other terms to the right.

+3g-2g=-13

We simplify left and right side of the equation.

+1g=-13

We divide both sides of the equation by 1 to get g.

g=-13

8 0

3 years ago

Read 2 more answers

What is the slope of a line that passes through (-4 -13) and (19, 11)

Mariana [72]

The answer you're looking for is 24/23.

I just took the test myself and this is correct.

7 0

3 years ago