If $ a^{2}-b^{2}=0 $, then the value of $ \frac{a}{b} $ is____.


Given:

$a^2-b^2=0$

To do:

We have to find the value of $\frac{a}{b}$.

Solution:

$a^2-b^2=0$

$a^2=b^2$
$\frac{a^2}{b^2}=1$

$(\frac{a}{b})^2=(1)^2$

Taking square root on both sides, we get,

$\frac{a}{b}=1\ or -1$.

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Updated on: 10-Oct-2022

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