Question

If x+1/x = 2- root 3 then find the value of x square + 1/xsquare

Answer 1

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Here is your answer

Given

$x +( 1 \div x )= 2 - \sqrt{3}$
S. O. B. S
$(x + 1 \div x) {}^{2} = (2 - \sqrt{3} ) {}^{2}$

Using some algebraic formulas

$x {}^{2} +( 1 \div x {}^{2}) + 2(x \times 1 \div x) = 4 + 3 - 4 \sqrt{3}$
$x {}^{2} +( 1 \div x {}^{2} ) + 2 = 7 - 4 \sqrt{3}$
$x {}^{2} + (1 \div x {}^{2} ) = 7 - 2 - 4 \sqrt{3}$
$x {}^{2} + (1 \div x {}^{2} ) = 5 - 4 \sqrt{3}$
This is your answer