If x is equal to 2 + root 3 find the value of x squared plus 1 by x square
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x = 2 + √3
x² = (2+√3)²
= (2)² + 2x2x√3 + (√3)²
=4 + 4√3 + 3
=7 + 4√3
1/x² = 1/7 + 4√3 x 7 - 4√3/7 - 4√3
= 7 - 4√3/ (7)² - (4√3)²
= 7 - 4√3/49-48
=7-4√3
therefore, x²+1/x² is
7 + 4√3 + 7-4√3
= 14
so your required answer is 14
thank you
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