Question

Resolva a equação literal do 2º grau, x² + 7mx + 10m² = 0, temos como solução

Answer 1

RESPOSTA : + 7m

$\\x²\:+\:7mx\:+\:10m²\:= 7 mx^2+7mx+10m^2:\quad \left(x+2m\right)\left(x+5m\right)\\x^2+7mx+10m^2\\\left(x^2+2xm\right)+\left(5xm+10m^2\right)\\x^2+2xm\\xx+2xm\\x\left(x+2m\right)\\5m\mathrm{\:de\:}5xm+10m^2\mathrm{:\quad }5m\left(x+2m\right)\\x\left(x+2m\right)+5m\left(x+2m\right)\\\left(x+2m\right)\left(x+5m\right)\\\x=+ 2 m + 5 m\\+7m$

Answer 2

Oie, Td Bom?!

x² + 7mx + 10m² = 0

• Coeficientes:

a = 1, b = 7m, c = 10m²

• Fórmula resolutiva:

x = [- b ± √[b² - 4ac]]/2a

x = [- 7m ± √[(7m)² - 4 . 1 . 10m²]]/[2 . 1]

x = [- 7m ± √[49m² - 40m²]/2

x = [- 7m ± √9m²]/2

x = [- 7m ± 3m]/2

x = [- 7m - 3m]/2

x = [- 10m]/2

x = - 5m

x = [- 7m + 3m]/2

x = [- 4m]/2

x = - 2m

S = {- 5m , - 2m}

Att. Makaveli1996