Question

if x = 5 - 2 root 6 find the value of x square + 1 / x square

Answer 1

x=5-2√6
∴, x²=(5-2√6)²=25-2.5.2√6+24=49-20√6
1/x²=1/(5-2√6)²=1/(49-20√6)=(49+20√6)/(49-20√6)(49+20√6)=(49+20√6)/(2401-2400)=49+20√6
∴, x²+1/x²=49-20√6+49+20√6=98


Hope it's helpful to uh dear.
Thankyou.

Answer 2

☜☆☞hey friend ☜☆☞

your answer is "98"

Explanation ☞

______

=> X=5-2√6 ______given

∴, x²=(5-2√6)²

=> X² =25-2.5.2√6+24

=> X² =49-20√6

=> 1/x²=1/(5-2√6)²

=> 1/x² =1/(49-20√6)

=> 1/x² =(49+20√6)/(49-20√6)(49+20√6)

=> 1/x² =(49+20√6)/(2401-2400)

=> 1/x² =49+20√6

∴, x²+1/x²=49-20√6+49+20√6

=> x² + 1/x²=98 _____answer

hope it will help you

Devil_king ▄︻̷̿┻̿═━一