Question

Resolva a equação (x+1) (x-1) +(x+4) (x-1)=(x-1)2

Answer 1

(x+1)(x-1)+(x+4)(x-1)=(x-1)2

x²+x+x-1+x²+x+4x-4=(x-1)2

x²+x²+x+x+x+4x-1-4=(x-1)2

2x²+7x-5=(x-1)2

2x²+7x-5=2x-2

2x²+7x-2x-5+2=0

2x²+5x-3=0

Δ=5²-4.2.(-3)

Δ=25+24

Δ=49

x= -5± /49:2.2

x = -5±7:4

x'= -5-7:4= -12:4= -3

x''= -5+7:4= 2:4= 0,5