Math, asked by HarshGavande, 4 months ago

plz tell me the answer

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Answers

Answered by subhojitghosh2607
1

Answer:

sorry , I don't know the answer

Answered by Flaunt
324

Question

\sf \large \:   \bigg| \dfrac{x}{3}  + 2 \bigg|  = 5

To find

Value of x

\sf\huge\bold{\underline{\underline{{Solution}}}}

step by step explanation

The above questions is given in mod and we know that the modulus (mod) gives two values one is positive and another is negative.So,there will be two values of x will comes one is positive and another is negative.lets us look upon modulus function.

\tt \: f(x) =  \begin{cases}  \tt \: - x \: , \: x < 0  \\  \tt \: x, \: x   \: \geqslant \:  0\end{cases}

\sf \longmapsto \dfrac{x}{3}  + 2 =  \pm5

\sf \longmapsto \dfrac{x}{3} + 2  = 5

\sf \longmapsto \dfrac{x + 6}{3}  = 5

\sf \longmapsto \: x + 6 = 15

\sf \longmapsto \bold{{\red{x = 9}}}

\sf \longmapsto \dfrac{x + 6}{3}  =  - 5

\sf \longmapsto \: x + 6 =  - 15

\sf \longmapsto \: x =  - 15 - 6 =  - 21

\sf \longmapsto{ \bold{{\red{x =  - 21}}}}

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