Question

if y²+1/y²=11 find the value of y1/y
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Answer 1

$\fbox{${{y}\mathrm{{-}}\frac{1}{y}\mathrm{{=}}{3}\hspace{0.33em}\hspace{0.33em}{Ans}{\mathrm{.}}}$}$

Step-by-step explanation:

Question:

$if \: \: {y }^{2} \times \frac{1}{ {y}^{2} } = 11 \: \: find \: the \: value \: of \: y - \frac{1}{y}$

Solution:

$(y - \frac{1}{y} )^{2} = {y}^{2} + \frac{1}{ {y}^{2} } - 2$

$\fbox{${{\mathrm{[.}}{\mathrm{.}}\hspace{0.33em}{\mathrm{(}}{a}\mathrm{{+}}{b}{\mathrm{)}}^{2}\mathrm{{=}}{a}^{2}\mathrm{{+}}{b}^{2}\mathrm{{-}}{2}{ab}}$}$

=11-2

[°.° y²+1/y² = 11 (Given)]

=9

y-1/y = √9 => 3 Ans.