Question

Rezolvați in R ecuatia:
a) x+2 supra x-1=2x-3 supra 2x+1

Answer 1

$\frac{x + 2}{x - 1} = \frac{2x - 3}{2x + 1}$

$(x + 2)(2x + 1) = (x - 1)(2x - 3)$

$2 {x}^{2} + x + 4x + 2 = 2 {x}^{2} - 3x - 2x + 3$

$2 {x}^{2} - 2 {x}^{2} + x + 4x + 3x + 2x = 3 - 2$

$10x = 1$

$x = \frac{1}{10}\:\epsilon\:\mathbb{R}$