Question

If √1+x÷144=13÷12, then find value of x

Answer 1

✓|+x/144=13/12

=} |+x/144=169/144

=}144 +x/144=169/144

144 will be cancelled by the other

=}144+x=169

=}x=169-144

=}x=25

Answer 2

Answer:

Value of x = 25

Step-by-step explanation:

$Given \: \sqrt{1+\frac{x}{144}}=\frac{13}{12}$

On Squaring both sides , we get

$\implies \big(\sqrt{1+\frac{x}{144}}\big)^{2}=\big(\frac{13}{12}\big)^{2}$

$\implies 1+\frac{x}{144}=\frac{169}{144}$

$\implies \frac{x}{144}=\frac{169}{144}-1$

$\implies \frac{x}{144}=\frac{169-144}{144}$

$\implies \frac{x}{144}=\frac{25}{144}$

$\implies x = \frac{25\times 144}{144}$

$\implies x = 25$

Therefore,

Value of x = 25

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