Question

if x + 1/x = 5, find x² + 1/x².

Answer 1

x+1/x=5
squaring both sides
x2* +2 + 1/x2*=25
x2* + 1/x2*=25-2
x2* + 1/x2*=23

2* means square
hope this ans helps u

Answer 2

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate}}}$

$<b><i><font face=Copper black size=4 color=blue>$
Here is your answer

X + 1/x = 5

Squaring both sides we get
$(x + \frac{1}{x} ) {}^{2} = 5 {}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 25 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 25 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 25 - 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 23$

$\large{\red{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\underline{\underline{\underline{Hope\:it\:helps\: you}}}}}}}}}}}}}}}$