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

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Answer 1 · 2018-04-04T21:05:35

$y=1$ or $y=2$

$sqrt(3y-2)=y$

$rArr 3y-2=y^2$

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

$rArr(y-2)(y-1)=0$

$rArr y-2=0$ or $y-1=0$

$rArr y=2$ or $y=1$

We now check both solutions

$sqrt(3(2)-2)=2$

$sqrt(3(1)-2)=1$

So both solutions are valid.

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