Question
Find the excluded values, of the following expression
$
\frac{y}{y^2-25}
$
$
\frac{y}{y^2-25}
$
✓
Answer
The expression $\frac{y}{y^2-25}$ is undefined
when $y ^2-25=0$
$
\begin{aligned}
& y^2-5^2=0 \\
& (y+5)(y-5)=0 \\
& y+5=0 \text { or } y-5=0 \\
& \because y=-5 \text { or } y=5
\end{aligned}
$
The excluded values are -5 and 5
when $y ^2-25=0$
$
\begin{aligned}
& y^2-5^2=0 \\
& (y+5)(y-5)=0 \\
& y+5=0 \text { or } y-5=0 \\
& \because y=-5 \text { or } y=5
\end{aligned}
$
The excluded values are -5 and 5
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