How do you simplify sqrt(3y-2 ) = y?

1 Answer
Apr 4, 2018

$y = 1$ or $y = 2$

Explanation:

$\sqrt{3 y - 2} = y$

$\Rightarrow 3 y - 2 = {y}^{2}$

#rArr y^2-3y-2=0

$\Rightarrow \left(y - 2\right) \left(y - 1\right) = 0$

$\Rightarrow y - 2 = 0$ or $y - 1 = 0$

$\Rightarrow y = 2$ or $y = 1$

We now check both solutions

$\sqrt{3 \left(2\right) - 2} = 2$

$\sqrt{3 \left(1\right) - 2} = 1$

So both solutions are valid.