Question

Determine as raizes das equações
a) 3x² = 5x

b)(2x-3)² = (4x-3)²

Answer 1

$a)\\\\3x^2=5x\\3x^2-5x=0\\x(3x-5)=0\\\\\boxed{x'=0}\\\3x-5=0\\3x=5\\\\\boxed{x=\frac{5}{3}}$

$b)(2x-3)^2=(4x-3)^2\\4x^2-12x+9=16x^2-24x+9\\4x^2-16x^2-12x+24x=0\\-12x^2+12x=0\\12x^2-12x=0\\x(12x-12)=0\\\\\boxed{x'=0}\\\\12x-12=0\\12x=12\\\\\boxed{x=1}$