Question

x^2 +1/x^2 = 17/4

solve for x​

Answer 1

$\huge\mathfrak\red{Soution}$

${x}^{2} + \frac{1}{ {x}^{2} } = \frac{17}{14} \\ \implies \frac{ {x}^{2} + 1} { {x}^{2} } = \frac{17}{14} \\ \implies17 {x}^{2} = 14 {x}^{2} + 14 \\ \implies17 {x}^{2} - 14 {x}^{2} = 14 \\ \implies3 {x}^{2} = 14 \\ \implies {x}^{2} = \frac{14}{3} \\ \implies x = \sqrt{ \frac{14}{3} }$

$\huge\mathfrak\red{Hope\: it\: helps\: uhh}$

Answer 2

Answer:

$\implies$ x = √14/3

$\large\underline\mathrm{Solution}$

$\implies$ x² + 1/x² = 17/14

$\implies$ (x²+1)/x² = 17/14

$\implies$ 17x² = 14x² + 14

$\implies$ 17x² - 14x² = 14

$\implies$ 3x² = 14

$\implies$ x² = 14/3

$\implies$ x = √14/3