25) (x+1)²+(x−6)² = 2x²

Решим уравнение:

$$(x+1)^2 + (x-6)^2 = 2x^2$$

$$x^2 + 2x + 1 + x^2 - 12x + 36 = 2x^2$$

$$2x^2 - 10x + 37 = 2x^2$$

$$-10x + 37 = 0$$

$$10x = 37$$

$$x = \frac{37}{10} = 3.7$$

Ответ: x = 3.7