Question

2x^2+11x-6/x^2-36
Сократите

Answer 1

$\frac{2x^2+11x-6}{x^2-36}$

2x²+11x-6=0
D = 11² - 4 · 2 · (-6) = 121 + 48 = 169 = 13²
x₁,₂ = $\frac{-11(+-) 13}{4}$
x₁ = 0,5
x₂ = -6
Значит, разложим по формуле a(x-x₁)(x-x₂)
2(x-0,5)(x+6)
$\frac{2(x-0,5)(x+6)}{x^2 - 36} = \frac{2(x-0,5)(x+6)}{(x+6)(x-6)} = \frac{2(x-0,5)}{(x-6)}$