Question

if x= 2+√3, then find the value of 'x²+1/x²​

Answer 1

Answer:

Step-by-step explanation:

x= 2+√3

1/x=1/(2+√3) * (2-√3)/(2-√3)

⇒1x=(2-√3)/4-3

⇒1x=(2-√3)/1

⇒1x=(2-√3)

now,

x² +1/x²=(2+√3)²+(2-√3)²

⇒(4+3)+(4-3)

⇒(7)(1)

∴ 7 Ans