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Crank
4 years ago
15

Find the solution to the following equation by transforming it into a perfect square trinomial. x2 – 12x = 64

Mathematics
1 answer:
alisha [4.7K]4 years ago
8 0

x^2-12x=64\\\\x^2-2\cdot6\cdot x=64\\\\(x^2-2\cdot6\cdot x+6^2)-6^2=64\\\\(x-6)^2-36=64\\\\(x-6)^2=64+36\\\\(x-6)^2=100\qquad|\sqrt{(\ldots)}\\\\\\x-6=-10\qquad\vee\qquad x-6=10\\\\x=-10+6\qquad\vee\qquad x=10+6\\\\\boxed{x=-4\qquad\vee\qquad x=16}

Answer A)

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