Question

Решите уравнение x^2+5x/3 -x+3/2=2x-2/8

Answer 1

$frac{ {x}^{2} + 5x }{3} - frac{x + 3}{2} = frac{2x - 2}{8} \ frac{ {x}^{2} + 5x }{3} - frac{x + 3}{2} = frac{2 + times (x - 1)}{8} \ frac{ {x}^{2} + 5x }{3} - frac{x + 3}{2} = frac{x - 1}{4} \ frac{4 times ( {x}^{2} + 5x}{3} - 2 times (x + 3) = (x - 1) \ 4x {}^{2} + 20x - 6x - 18 = 3x - 3 \ 4 {x}^{2} + 14x - 18 = 3x - 3 \ 4 {x}^{2} + 14x - 18 - 3x + 3 = 0 \ 4 {x}^{2} + 11x - 15 = 0 \ 4 {x}^{2} + 15x - 4x - 15 = 0 \ x times (4x + 15) - (4x + 15) = 0 \ (4x + 15) times (x - 1) = 0$

$4x + 15 = 0 \ 4x = - 15 \ x = - frac{15}{4} = - 3.75$

$x - 1 = 0 \ x = 1$