Question

Решите уравнение 5x-15( x-3) (x+2)=2x-2

Answer 1

$frac{5x-15}{(x-3)(x+2)} = frac{2}{x-2}$

(5x-5)(x-2)=2(x-3)(x+2)

$5 x^{2} -35x +30=2 x^{2} -2x-12$

$3 x^{2} -37x+42=0$

D=865

x=$frac{37+ sqrt{865} }{6}$

x=$frac{37- sqrt{865} }{6}$