Question

Решите уравнение (x-2)^2-(x+7)^2=17x

Answer 1

$(x - 2) {}^{2} - (x + 7) {}^{2} = 17x \\ x {}^{2} - 4x + 4 - (x {}^{2} + 14x + 49) = 17x \\ x {}^{2} - 4x + 4 - x {}^{2} - 14x - 49 = 17x \\ - 18x - 45 = 17x \\ - 18x - 17x = 45 \\ - 35x = 45 \\ x = - \frac{9}{7} \\ x = - 1 \frac{2}{7}$