Math, asked by aarushgupta10166, 28 days ago

tellanswer right and don't spam sn​

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Answers

Answered by sanpreetpachhala
3

Answer:

x=25

Step-by-step explanation:

please see in the image

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Answered by CopyThat
8

Step-by-step explanation:

Question :

If \bold {\sqrt{1+\frac{x}{144} }=\frac{13}{12}  } }, then x is equal to ?

Solution :

\rightarrowtail \bold{\sqrt{1+\frac{x}{144}}=\frac{13}{12}  } }

Squaring on both sides, we get :

\rightarrowtail \bold{(\sqrt{1+\frac{x}{144})^2 }=(\frac{13}{12}) ^2 }

\rightarrowtail  \bold{1+\frac{x}{144}=\frac{169}{144}  }

Transposing 1, we get :

\rightarrowtail \bold{\frac{x}{144}=\frac{169}{144}-1  }

Taking L.C.M, we get :

\rightarrowtail \bold{\frac{x}{144}=\frac{169-144}{144}  }

\rightarrowtail \bold{\frac{x}{144}=\frac{25}{144}  }

Cross multiplying, we get :

\rightarrowtail \bold{x\times144=25\times144}

\rightarrowtail \bold{144x=3600}

\rightarrowtail \bold{x=\frac{3600}{144} = 25}

∴ Value of x is 25.

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