Question

Which equation has the same solution as x^2-6x-13=0?

Answer 1

$x^2-6x-13=0\\\\\underbrace{x^2-2x\cdot3+3^2}_{use:(a-b)^2=a^2-2ab+b^2}-3^2-13=0\\\\(x-3)^2-9-13=0\\\\(x-3)^2-22=0\\\\\boxed{(x-3)^2=22}$