Question

Simplificati prin x-2 raportul x²+5x-14 supra 4-x ²

Answer 1

x²+5x-14/4-x²=(x-2)(x+7) / (2-x)(2+x) = (x-2)(x+7) / -(x-2)(2+x) ] simplificăm prin x-2] ⇒  = x+7/-x-2

x²+5x-14=x²-2x+7x-14=x(x-2) + 7(x-2)=(x-2)(x+7)
4-x²=(2-x)(2+x)

Answer 2

x²+5x-14=x²+7x-2x-14=x(x+7)-2(x+7)=(x-2)(x+7)
4-x²=(2-x)(2+x)
(x-2)(x+7)/(2-x)(2+x)/×(-1)=-(x-2)(x+7)/(x-2)(-2-x)=(x+7)/-(2+x)