Решите уравнение (x+7)^2+(x-6)^2=2x^2

[latex](x+7)^{2} +(x-6) ^{2} =2 x^{2} \\ x^{2} +14x+49+ x^{2} -12x+36=2 x^{2} \\ 2x=-85 \\ x=-42.5[/latex]

x²+14x+49+x²-12x+36=2x² x²+14x+49+x²-12x+36-2x²=0 2х+85=0 2х=-85 х=-85/2 х=-42,5