Question

Помогите решить уравнение, 2 примера! Пожалуйста.
1. (2x-3)^2+(3-4x)(x+5)=82
2.(x-1)(x+1)=2(x-5)^2-x(x-3)

Answer 1

1)
${(2x - 3)}^{2} + (3 - 4x)(x + 5) = 82 \\ 4 {x}^{2} - 12x + 9 + 3x - 4 {x}^{2} + 15 - 20x = 82 \\ - 29x = 58 \\ x = - 2$
Ответ: -2.

2)
$(x - 1)(x + 1) = 2 {(x - 5)}^{2} - x(x - 3) \\ {x}^{2} - 1 = 2 {x}^{2} - 20x + 50 - {x}^{2} + 3x \\ {x }^{2} - 1 = {x}^{2} - 17x + 50 \\ {x}^{2} - {x}^{2} + 17x = 50 + 1 \\ 17x = 51 \\ x = 3$
Ответ: 3