Question

Escreva as as equações abaixo na forma reduzida:ax²+bx+c=0
a) (x+3).(x-3)=5x-9
b) 2x²+5x-x²=-1+5x-3
c) (3x-2)²=x²-12x
d) (3x-5).(3x+5)=(x+1) (x-3)
e) (2y+1)²-2(2y+1)=8
f) 3x-4x(x-3)-5=-5(1+x²)
alguem me ajuda preciso das respostas certas

Answer 1

a)
(x+3).(x-3)=5x-9
x*x -3x + 3x - 9 = 5x - 9
x² - 9 = 5x - 9
x² - 5x = 0
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b)
2x²+5x-x²=-1+5x-3
2x² - x² + 5x = -1 + 5x - 3
x² + 5x = 5x -4
x² + 4 = 0

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c)
(3x-2)²=x²-12x
9x² + 4 = x² - 12x
8x² + 12x + 4 = 0
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d)
(3x-5).(3x+5)=(x+1) (x-3)
9x² + 15x - 15x - 15 = x² - 3x + x - 3
9x² - 15 = x² -2x - 3
8x² + 2x -12 = 0
____________________
e)
(2y+1)²-2(2y+1)=8
4y² + 1 - 4y - 2 = 8
4y² - 4y -9 = 0
____________________
f)
3x-4x(x-3)-5=-5(1+x²)
3x -4x² + 12x - 5 = -5 -5x²
x² + 15x = 0

Pronto!

Answer 2

a)a) (x+3).(x-3)=5x-9
x²-3x+3x-9=5x-9 
x²-5x=-9+9
x²-5x=0

b) 2x²+5x-x²=-1+5x-3
2x²-x²+5x-5x=-4
x²+4=0

c) (3x-2)²=x²-12x
9x²+4-x²+12x=
8x²+12x=-4
8x²+12x+4=0

d) (3x-5).(3x+5)=(x+1) (x-3)
6x²+15x-15x-25=x-3x+x-3
6x²+0x-x+3x-x=25-3
6x²+x=22
6x²+x-22=0

e) ((2y+1)²-2(2y+1)=8
4y² + 1 - 4y - 2 = 8
4y² - 4y -9 = 0

f) 3x-4x(x-3)-5=-5(1+x²)
3x-4x²+12x-5=-5-5x²
-4x²+5x²+3x+12x=5-5
x²+15x=0