Question

Упростить


x+6       x-5         2x^2-25x+61
--- + --- = -------------------
x-5        x+6        x^2+x-30

Answer 1

$frac{x+6}{x-5} +frac{x-5}{x+6} =frac{2x^{2} -25x+61}{x^{2}+x-30 } \ \ frac{(x+6)^{2} +(x-5)^{2} }{(x-5)(x+6) } =frac{2x^{2} -25x+61}{(x-5)(x+6) }\ \ frac{x^{2}+12x+36+x^{2}-10x+25}{(x-5)(x+6) } =frac{2x^{2} -25x+61}{(x-5)(x+6) }\ \frac{2x^{2} +2x+61}{(x-5)(x+6) } =frac{2x^{2} -25x+61}{(x-5)(x+6) }\ \ x^{2} +2x+61=2x^{2} -25x+61\ 2x=-25x\ 27x=0$