Question

Rezolva in R ecuatia x^2+5x-9/5x+15-x/x+3=1.

Answer 1

Răspuns:

x = 8

Explicație pas cu pas:

x + 3 ≠ 0 => x ≠ -3

$\frac{ {x}^{2} + 5x - 9}{5x + 15} - \frac{x}{x + 3} = 1$

$\frac{ {x}^{2} + 5x - 9}{5(x + 3)} - \frac{5x}{5(x + 3)} = \frac{5(x + 3)}{5(x + 3)}$

${x}^{2} + 5x - 9 - 5x = 5x + 15$

${x}^{2} - 9 - 5x - 15 = 0$

${x}^{2} - 5x - 24 = 0$

$(x + 3)(x - 8) = 0$

$x + 3 = 0 = > x = - 3 \\ nu \: este \: solutie$

$x - 8 = 0 = > x = 8$