Question

Find y

y^(3/2)=15y

Answer 1

\[\begin{align*}
y^{3/2}&=15y\\
y^{3/2}-15y&=0\\
y^{3/2}-15y^{2/2}&=0\\
y^{2/2}\left(y^{1/2}-1\right)&=0\\
y\left(\sqrt y-1\right)&=0
\end{align*}\]

Answer 2

ok, not sure what comes after that

Answer 3

check your factorization

Answer 4

\[\begin{align*}
y^{3/2}&=15y\\
y^{3/2}-15y&=0\\
y^{3/2}-15y^{2/2}&=0\\
y^{2/2}\left(y^{1/2}-\color{red}{15}\right)&=0\\
y\left(\sqrt y-\color{red}{15}\right)&=0
\end{align*}\]
@triciaal thanks :)

Answer 5

welcome
y = 0 or (rt y - 15 ) = 0
rt y = 15
(rt y)^2 = 15^2
y = 225
solution y = 0, 225

Answer 6

need to check in original

Answer 7

nice, that was correct. Now if i can just remember how to do that on the test, i'll be golden