Question

resolva as equações
a) 6x^2 = 5x
b) x.(x+2) = 4x
c) 3.(x-2) = 12
d) 3m^2 +2 = 4m^2 +2

Answer 1

Olá, tudo bem?

$a)\,\,6x^2 = 5x\to 6x^2-5x=0\to x(6x-5)\to \\ \boxed{x=0}\,\,\text{ou}\,\,6x-5=0\to \boxed{x=\dfrac{5}{6}}\\\\ b)\,\,x.(x+2) = 4x\to x^2+2x-4x=0\to x^2-2x=0\to \\ x(x-2)=0\to \boxed{x=0}\,\,\text{ou}\,\,x-2=0\to \boxed{x=2}\\\\ c)\,\,3.(x-2) = 12\to 3x-6=12\to 3x=18\to \boxed{x=6}\\\\ d)\,\,3m^2 +2 = 4m^2 +2\to 4m^2-3m^2=0\to m^2=0\to \boxed{m=0}$

Muito Obrigado pela confiança nesse trabalho!! :-)