Question

Решите уравнение 4(x-3)^2=(x+6)^2

Answer 1

$4(x-3)^2=(x+6)^2\\\\2^2(x-3)^2-(x+6)^2=0\\\\\Big (2(x-3)-(x+6)\Big )\cdot \Big (2(x-3)+(x+6)\Big )=0\\\\\Big (x-12\Big )\cdot \Big (3x+0\Big )=0\\\\3x\cdot (x-12)=0\\\\x-12=0\; \; ,\; \; 3x=0\\\\\underline {x_1=12\; ,\; \; x_2=0}$