412brooke
contestada

Find the solution to the following equation by transforming it into a perfect square trinomial. x2 – 12x = 64
A) {–4, 16}
B) {–15, 25}
C) {–20, 30}
D) {59, 69}

Respuesta :

WojtekR

[tex] 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} [/tex]

Answer A)

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