Question

Rozwiaz
x(x+1)/x-1 = 4x-2
b) 2x2+4x2 -8x-16=0

Answer 1

x(x+1)/(x-1) = 4x-2  /*(x-1)  zał x-1≠0⇒ x≠1

x(x+1)=(4x-2)(x-1)
x²+x=4x²-4x-2x+2
3x²-7x+2=0
Δ=49-4·3·2=49-24=25
√Δ=√25=5
x1=(7-5)/6=2/6=1/3
x2=(7+5)/6=2

b) 2x³+4x²-8x-16=0
2x²(x+2)-8(x+2)=0
(x+2)(2x²-8)=0
x+2=0  v 2x²-8=0
x=-2  v  2x²=8⇒x²=4⇒x=2 v x=-2