Math, asked by coolyoradhika7894, 11 months ago

(X+5)^(1/5)=2 find the value of X

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Answered by lathamalathy
1

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Answered by TRISHNADEVI
9

 \red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \:  \:  \: QUESTION \:  \:  \:  \red{ \mid}}}}}}}}

 \rm{ \:  \: (x + 5) {}^{ \frac{1}{5} } = 2 \:  \:,  \:  \: find \:  \: \:  the \:  \:  \: value \:  \:  \: of \:  \:  \: x \: .}

 \red{ \huge{ \underline{ \overline{ \mid{ \bold{ \purple{ \:  \:  \: SOLUTION\:  \:  \:  \red{ \mid}}}}}}}}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \rm{(x + 5) {}^{\frac{1}{5} }  = 2} \\  \\  \rm{ \Longrightarrow \:[(x + 5) {}^{ \frac{1}{ \cancel{5}} } ] {}^{ \cancel{5}}  =( 2) {}^{5} } \\  \\  \rm{ \Longrightarrow \: (x + 5) {}^{1} = 32 } \\  \\  \rm{ \Longrightarrow \: x + 5 = 32} \\  \\  \rm{ \Longrightarrow \: x = 32 - 5} \\  \\  \rm{ \therefore \:  \:  \:  \boxed{ \rm{ \:  \: x = 27 \: }}}


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