Question

Решите уравнение
(x-12)(x+12)=2(x-6)^2-x^2
(3x-1)^2+(4x+2)^2=(5x-1)(5x+1)

Answer 1

1)x^2-144=2(x^2-12x+36)-x^2
x^2-144=2x^2=24x+72-x^2
x^2-144-2x^2+24x-72+x^2=0
-144+24x-72=0
-216+24x=0
24x=216
x=216:24
x=9
2)9x^2-6x+1+16x^2+16x+4=25x^2-1
25x^2+10x+5-25x^2+1=0
10x+6=0
10x=-6
x=-6/10=-0,6
x=-0,6