Question

√(1 + x/144)= 13/12, find value of x​

Answer 1

Answer:

➝ The value of x is 25.

Step-by-step explanation:

Given:

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

To Find:

$\sf the \: value \: of \: x.$

Solution:-

➝ Squaring both sides

$\sf \bigg( \sqrt{1 + \frac{x}{144} } \bigg)^{2} = \bigg ( \frac{13}{12} \bigg)^{2} \\ \\ \sf \hookrightarrow 1 + \frac{x}{144} = \frac{169}{144} \\ \\ \ \sf\hookrightarrow \frac{x}{144} = \frac{169}{144} - 1 \\ \\ \sf \hookrightarrow \frac{x}{144} = \frac{169 - 144}{144} \\ \\ \sf \hookrightarrow \frac{x}{144} = \frac{25}{144} \\ \\ \sf \hookrightarrow x = 25$