1.

If (x+ 1/x)= 96 what is the value of x2 +1/x??​

Answer» ONG>Answer:

x {}^{2} + (\frac{1}{x} ){}^{2} = 9214

Step-by-step EXPLANATION:

Given,

x + (\frac{1}{x}) = 96 \\ after \: squaring \: both \: the \: sides \: we \: get \\ (x + \frac{1}{x} ) {}^{2} = 96 {}^{2} \\ = x {}^{2} + ( \frac{1}{x} ) {}^{2} + 2(x)( \frac{1}{x} ) = 9216\\ = x {}^{2} + ( \frac{1}{x} ) {}^{2} + 2 = 9216 \\ = x {}^{2} + ( \frac{1}{x} ) {}^{2} = 9216 - 2 \\ = x {}^{2} + ( \frac{1}{x} ) {}^{2} = 9214

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