Question

Escreva as equações na forma geral e resolva
x(x-2)=2(x+6)
x(2x-1)+6=4(x+1)

Answer 1

x²-2x=2x+12
x²-2x-2x=+12
x²-4x-12=0
∆=(-4)²-4•1•-12
∆=16+48
∆=64
x=-(-4)±√64/2•1
x=4±8/2
x'=4+8/2
x'=12/2=6
x"=4-8/2=-4/2=-2

2x²-x+6=4x+4
x-4x+6-4=0
x²-4x+2=0
∆=(-4)²-4•1•2
∆=16-8