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Real Numbers — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsReal Numbers2 Marks
Question
Solve : $\left|5+\frac{x}{4}\right|=5$
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Answer

$\left|5+\frac{x}{4}\right|=5$
$\begin{array}{llll}
\therefore & 5+\frac{x}{4}=5 & \text { or } & 5+\frac{x}{4}=-5 \\
\therefore & \frac{x}{4}=5-5 & \text { or } & \frac{x}{4}=-5-5 \\
\therefore & \frac{x}{4}=0 & \text { or } & \frac{x}{4}=-10 \\
\therefore & x=0 & \text { or } & x=-40
\end{array}$
...[Multiplying both the sides by 4 ]

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