Monica is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this?

c) x^2 +16x + 64 = 25

Completed question;

Monica is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this?

a) x^2 - 10x - 25 = 14

b)x^2 + 160x +26 = 19

c) x^2 +16x + 64 = 25

d) x^2 - 9x + 81 = 34

Step-by-step explanation:

To solve a quadratic equation by taking the square root of both sides, we should be able to express the equation in the form;

(x + a)^2 = b^2

Or

(x - a)^2 = b^2

From the above options,

Option C looks to give the desired form

x^2 + 16x + 64 = 25

Which can be further factorised as;

(x + 8)^2 = 5^2

(Note: a = 8 and b = 5)

square root of both sides;

x + 8 = +/- 5

x = +5-8 = -3 (solved)

or

x = -5-8 = -13 (solved)

answer: are you

step-by-step explanation:

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step-by-step explanation: