Question

Como resolver a equação irracional: $x = 5 \sqrt{x}$

Answer 1

Elevemos os dois lados ao quadrado:

$x=5\sqrt x\\\\(x)^2=(5\sqrt x)^2\\\\x^2=25x\\\\x^2-25x=0\\\\x(x-25)=0 \\\\x=0\\\\x-25=0\\\\x=25\\\\\boxed{S:\{0,25\}}$