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Murrr4er [49]
2 years ago
15

How to Solve this question

Mathematics
2 answers:
RSB [31]2 years ago
7 0

Answer:

I hope it was helpful...

tekilochka [14]2 years ago
7 0

\huge\mathfrak{\underline{Answer:}}

\huge\bf{=14}

\large\bf{\underline{Given :}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large\bf ⟹ x +  \frac{1}{x}  = 4

\large\bf{\underline{To\: find:}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large\bf ⟹ {x}^{2}  +  \frac{1}{ {x}^{2} }

\large\bf{\underline{Using\: identity:}}

\boxed{\large\bf\pink{(a+b)^2 = a^2 + b^2 + 2ab}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large\bf{⟹(x+\frac{1}{2})^2 = x^2 +(\frac{1}{2}^2) + 2.x.\frac{1}{x} }

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large\bf{⟹(4)^2 = x^2 + \frac{1}{x^2} +2}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large\bf{⟹16= x^2 + \frac{1}{x^2} +2}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large\bf{⟹16 - 2= x^2 + \frac{1}{x^2}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large\bf{⟹x^2 +\frac{1}{x^2} = 14}

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