Question

find this math question ​

Answer 1

Answer:

23

Step-by-step explanation:

(x+1/x)^2=25

x^2+1/x^2=25-2

Answer 2

Step-by-step explanation:

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$If \: x + \frac{1}{x} = 5 \: \: then \: find \: the \: value \: \\ of \: {x}^{2} + \frac{1}{ {x}^{2} }$

$\huge \mathfrak \red{A} \huge \mathfrak \green{n} \huge \mathfrak \orange{s} \huge \mathfrak \blue{w} \huge \mathfrak {e} \huge \mathfrak \green{r - }$

$x + \frac{1}{x} = 5 \\ \\ \mathcal{squaring \: both \: sides - } \\ \\ ( x + \frac{1}{x} ) {}^{2} = (5) {}^{2} \\ \\ {(x)}^{2} { + ( \frac{1}{x} )}^{2} + 2 \times x \times \frac{1}{x} = 25 \\ ( using \: the \: identity \: of \: \\ (a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2}) \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 25 \\ \\ {x}^{2} + \frac{1}{x {}^{2} } = 25 - 2 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 23$