1.

If (y + 1/y) = 8 then, (y² +1/y²) is

Answer»

\huge\red {\bf {\underline {Solution:-}}}

{\tt {y +  \frac{1}{y}  = 8}}

⇒{\tt { {(y +  \frac{1}{y}) }^{2}  =  {8}^{2}}}

⇒{\tt { {y}^{2}  + 2 \times y  \times  \frac{1}{y}  +  \frac{1}{ {y}^{2} }  = 64}}

⇒ {\tt {{y}^{2}  + 2 +  \frac{1}{ {y}^{2} }  = 64}}

⇒{\tt { {y}^{2}  +  \frac{1}{  {y}^{2}  }  = 64 - 2}}

⇒{\tt { {y}^{2}  +   \frac{1}{ {y}^{2} }  = 62}}

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