Решите уравнение (x-7)^2 = 2x^2 + 11x +23

Question

Решите уравнение (x-7)^2 = 2x^2 + 11x +23

Answer 1

(x - 7)^2 = 2x^2 + 11x + 23
x^2 - 14x + 49 = 2x^2 + 11x + 23
x^2 - 2x^2 - 14x - 11x + 49 - 23 = 0
- x^2 - 25x + 26 = 0
x^2 + 25x - 26 = 0

D = 625 - 4 × 1 × (- 26)
D = 729

x1 = (- 25 + √729)/2 x2 = (- 25 - √729)/2
x1 = (- 25 + 27)/2 x2 = (- 25 - 27)/2
x1 = 1 x2 = - 26

Ответ: x1 = 1; x2 = - 26.