Question

01 - Coloque na forma ax2+ bx + c = 0 as seguintes equações do 2o grau:
a) x(x – 2) = 3(x + 6)
2
x
– 2x = 3x + 18
2
x –2x–3x–18=0
2
x –5x–18=0
2
Resp.: x
– 5x – 18 = 0

b) x(x – 6) + 8 = 0



c) 4 + x(x – 4) = x



d) (x + 2)(x – 5) = – 10


e) (x + 2)(x – 4) = (3x – 1)(3x – 1)

Answer 1

Resposta:

b) x(x – 6) + 8 = 0

$x^{2} -6x+8=0$

c) 4 + x(x – 4) = x

$4+x^{2} -4x=x$

$x^{2} -5x+4=0$

d) (x + 2)(x – 5) = – 10

$x^{2} -5x+2x-10=-10$

$x^{2}-3x=0$

e) (x + 2)(x – 4) = (3x – 1)(3x – 1)

$x^{2} -4x+2x-8=9x^{2} -3x-3x+1$

$x^{2} -2x-8=9x^{2} -6x+1$

$8x^{2} -4x+9=0$