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Tju [1.3M]
3 years ago
15

Katie solved the equation by completing the square.

Mathematics
1 answer:
emmainna [20.7K]3 years ago
7 0

Katie has equation x^2+12x-7=0 and wants to solve it completing the perfect square. In order to do it, first rewrite 7 in right side:

x^2+12x=7.

Then note that 12x=2\cdot 6\cdot x, so Katie has to add 6^2=36 to both sides (because x^2+12x+36=x^2+2\cdot 6\cdot x+6^2=(x+6)^2):

 x^2+12x+36=7+36,\\ \\(x+6)^2=43.

Answer: correct choice is C.

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