Question

1
If x=2+√3 find the value of x² +
1/x = ?
​

Answer 1

Step-by-step explanation:

Given...

$x = 2 + \sqrt{3}$

Therefore, in question...

${x}^{2} - \frac{1}{x}$

${(2 + \sqrt{3} )}^{2} - \frac{1}{2 + \sqrt{3} }$

$(4 + 3 + 4 \sqrt{3} ) - \frac{1}{2 + \sqrt{3} }$

$7 + 4 \sqrt{3} - \frac{1}{2 + \sqrt{3} }$

$\frac{14 + 7 \sqrt{3} + 8 \sqrt{3} + 12 - 1 }{2 + \sqrt{3} }$

$\frac{ 25+ 15 \sqrt{3} }{2 + \sqrt{3} }$

$\frac{5(5 + 3 \sqrt{3} )}{2 + \sqrt{3} }$

Help yourself...

Please mark as Brainliest...