Question

Escreva as equaçoes abaixo na forma reduzida:
A)x(x-2)=-7
b)(x+3).(x-5)=2x
c)2x(x-5)=4x-2
d)4(x²-x+2)=3(x²-3x+1)
e)x(x-1)=-12
f)(y+2).(y-2)=0
g)(x-3).(x+3)=(x-2).(x+2)

Answer 1

a)x(x-2)= -7
x²-2x= -7
x²-2x+7=0

b)(x+3)*(x-5)=2x
x²-5x+3x-15=2x
x²-2x-15-2x=0
x²-4x-15=0

c)2x(x-5)=4x-2
2x²-10=4x-2
2x²-4x-10+2=0
2x²-4x-8=0

d)4(x²-x+2)=3(x²-3x+1)
4x²-4x+8=3x²-9x+3
4x²-3x²-4x+9x+8-3
x²+5x+5=0

e)x(x-1)= -12
x²-x+12=0

f)(y+2)*(y-2)=0
y²-2y+2y-4=0
y²-4=0

g)(x-3)*(x+3)=(x-2)*(x+2)
x²+3x-3x-9=x²+2x-2x-4
x²-x²+3x-3x-2x+2x-9+4=0
-9+4=0