Katie solved the equation by completing the square. x^2+12x−7=0 which equation shows one of the steps katie could have taken to complete the square? x^2+12x+144=7 x^2+12x+144=7+144 x^2+12x+36=7+36 x^2+12x+36=7

Option C is correct. One of the steps Katie could have taken to complete the square is x²+12x +36 = 7 + 36

Given the equation that Katie solved using the completing the square method expressed as:

x²+12x−7=0

The steps to be taken are as follows

Step 1: Add 7 to both sides

x²+12x−7 + 7=0 + 7

x²+12x = 7

Step 2: Complete the square by adding the square of the half of the coefficient of x to both sides

Coefficient of x = 12

half of coefficient of x = 12/2 = 6

square of the half of coefficient of x = 6^2

Add 6^2 to both sides

x²+12x +6^2 = 7 + 6^2

(x+6)^2 = 7 + 36

x²+12x +36 = 7 + 36

Hence one of the steps Katie could have taken to complete the square is x²+12x +36 = 7 + 36

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Katie has equation and wants to solve it completing the perfect square. In order to do it, first rewrite 7 in right side:

Then note that so Katie has to add to both sides (because ):

correct choice is C.

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step-by-step explanation:

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