Math, asked by devanshkalwani2005, 11 months ago

if x2+1/x2=7 then the value of x4+1/x4

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Answered by aryan1234243

Step-by-step explanation:

x4+1/x4=49 OK friend this is urs answer

Answered by Anonymous

Answer:

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$\huge{\bold{47}}$

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${x}^{2} + \frac{1}{ {x}^{2} } = 7 \\ \\ \: by \: squaring \: both \: side \\ \\ { ( {x}^{2} + \frac{1}{ {x}^{2} } )}^{2} = ({7})^{2} \\ \\ {x}^{4 } + \frac{1}{ {x}^{4} } + 2 \times {x}^{2} \times \frac{1}{ {x}^{2} } = 49 \\ \\ {x}^{4 } + \frac{1}{ {x}^{4} } + 2 = 49 \\ \\ {x}^{4 } + \frac{1}{ {x}^{4} } = 49 - 2 \\ \\ {x}^{4 } + \frac{1}{ {x}^{4} } = 47$

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Diya❤

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if x2+1/x2=7 then the value of x4+1/x4