Helen 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?

1) x^2+ 24x + 144 = 17

2) x^2 + 7x + 12 = 34

3) x^2+ 7x + 49 = 10

4) x^2+ 25x + 10 = 20

1)

Step-by-step explanation:

The answer is 1) because the left side in the equation

can be represented a perfect square:

so we have that the original equation becomes:

and then, taking the square root of both sides of the equation:

±

±

we are left with an equation where we can find the values of x.

so we clear for x and we get:

±

thus,  the two values of x are:

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