Question

if x= 2+✓3 find x²+1/x²

Answer 1

hii
here is your answer
$\frac{1}{x} = \frac{1}{2 + \sqrt{3} }$
$\frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} }$
$\frac{1}{x} = 2 - \sqrt{3}$
$x + \frac{1}{x} = 2 + \sqrt{3} + 2 - \sqrt{3}$
$= 4$
$( {x + \frac{1}{x}) }^{2} = {x}^{2} + { \frac{1}{x} }^{2} + 2$
${4}^{2} = {x}^{2} + { \frac{1}{x} }^{2} + 2$
${x}^{2} + { \frac{1}{x} }^{2} = 16 - 2$
${x}^{2} + { \frac{1}{x} }^{2} = 14$
hope it helps

Answer 2

Please peek into the picture for your answer then if you like the answer please mark it as brainliest by giving it 5 ratings...
Thank you!!!