Question

if x = 2-under root 3 find the value of x square +1/x square

Answer 1

Answer:

${x}^{2} + 1 \div {x}^{2} \\ {(2 - \sqrt{3} })^{2} + 1 \div {(2 - \sqrt{3} })^{2} \\ ((7 - 4 \sqrt{3} )(7 - 4 \sqrt{3} ) + 1) \div (7 - 4 \sqrt{3} ) \\ (98 - 56 \sqrt{3} ) \div (7 - 4 \sqrt{3} ) \\ 14(7 - 4 \sqrt{3} ) \div (7 - 4 \sqrt{3} ) \\ 14$

answer is 14