Question

if x+ 1/ x=4 lets show that x²+1/x²=14​

Answer 1

Step-by-step explanation:

hope this would help you

Answer 2

$\bf\large\underline\blue{Question:-}$

• If $x+\frac{1}{x}=4$, show that $x^{2}+\frac{1}{x^{2}}=14.$

$\bf\large\underline\blue{Solution:-}$

$x + \frac{1}{x} = 4$

$\bf\small\blue{Squaring\:both\:side,\:we\:get,}$

${x}^{2} + \frac{1}{ {x}^{2} } + 2 \times \cancel{x} \times \frac{1}{ \cancel{x}} = 16$

$\implies {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 16$

$\implies {x}^{2} + \frac{1}{ {x}^{2} } = 16 - 2$

$\implies {x}^{2} + \frac{1}{ {x}^{2} } = 14$

$\bf\large\blue{Hence\:Proved.}$