Question

x
$x {4}^{?} \ \div \frac{1}{x {4}^{?} }$

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Answer 1

$\star\;{\underline{\underline{\sf{\pink{QueStion\;\;:}}}}}$

$x {4}^{?} \ \div \frac{1}{x {4}^{?} }$

$\huge\star{\underline{\mathtt{\red{A}\pink{N}</p><p>\green{S}\blue{W}\purple{E}\orange{R}}}}\star$

$x {4}^{?} \ \div \frac{1}{x {4}^{?} }$

given,

$x {4}^{?} \ \div \frac{1}{x {4}^{?} } =119$

$x {4}^{?} \ \div \frac{1}{x {4}^{?} } +2=119+2$

$(x^2)^2 + \frac{1}{ (x^2)^2 } + 2x^2 \times \frac{1}{ (x^2)} = 121$

$(x^2+ \frac{1}{ (x^2)})^2 = 11^2$

therefore,

$(x^2+ \frac{1}{ (x^2)}) = 11$