Question

reduza as equações do 2 grau a sua forma geral (ax²+bx+c=0):
a)(x+2).(x+3)=24

b)x(2x+1)+x(x-7)=x(5x+2)

c)
​

Answer 1

Resposta: a. x²+5x-18=0

b. 2x²+8x=0

c. 5x²-240x-6=0

Explicação passo-a-passo:

a. (x+2).(x+3)=24

x²+3x+2x+6=24

x²+5x-18=0

b. x(2x+1)+x(x-7)=x(5x+2)

2x²+x+x²-7x=5x²+2x

3x²-6x=5x²+2x

-2x²-8x=0

2x²+8x=0

c. (x²/6)-8x=1/5

(5x²-240x)/30=6/30

5x²-240x=6

5x²-240x-6=0

Answer 2

Olá

a) (x + 2) . (x + 3) = 24

x² + 3x + 2x + 6 = 24

x² + 5x - 18 = 0

b) x (2x + 1) + x (x - 7) = x (5x + 2)

2x² + x + x² - 7x = 5x² + 2x

2x3x² - 6x = 5x² + 2x

-2x² - 8x = 0

02x² + 8x = 0

c) x²/6 - 8x = 1/5

(5x² - 240x)/30 = 6/30

6/305x² - 240x = 6

65x² - 240x - 6 = 0