Question

if x+1/x=5 then x^2+1/x^2=?

Answer 1

Answer:

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Answer 2

$\huge{\mathfrak{\blue{\underline{Answer}}}}$

squaring both sides

$(x + \frac{1}{x} ) {}^{2} = (5) {}^{2} \\ x {}^{2} + \frac{1}{x {}^{2} } + 2(x)( \frac{1}{x} ) = 25 \\ x {}^{2} + \frac{1}{ {x}^{2} } + 2 = 25 \\ x {}^{2} + \frac{1}{ {x}^{2} } = 25 - 2 \\ x { }^{2} + \frac{1}{ {x}^{2} } = 23$