Question

The lesson in my intermediate algebra class is rational expressions, the problem I've having trouble on is y = 5 sqrt y
I have y^2 = 25y^2 and I'm unsure of where to go from there.

Answer 1

\(y= 5\sqrt{y}\), square both sides
\(y^2=25y\)
hence \(y^2-25y =0\)
factor y out
\(y(y-25)=0\)
that gives you y =0 and y =25

Answer 2

When is it necessary to factor? Not for this problem but generally for rational expressions.

Answer 3

when all terms in expression has the common "thing", like above, both the first term and the second term has y in

Answer 4

Okay, thank you.