Question

If x = 7+453, then (x+1)​

Answer 1

GIVEN :–

▪︎ Value of x is 7 + 4√3.

TO FIND :–

• Value of x + 1/x

SOLUTION :–

▪︎ First we have to find 1/x –

⇒ (1/x) = 1/(7 + 4√3)

• Now Rationalization –

⇒ (1/x) = [1/(7 + 4√3)][(7 - 4√3)(7 - 4√3)]

⇒ (1/x) = (7 - 4√3)/(49 - 48)

⇒ (1/x) = (7 - 4√3)

▪︎ Now –

⇒ x + 1/x = 7 + 4√3 + 7 - 4√3

⇒ x + 1/x = 7 + 7

⇒ x + 1/x = 14

Hence , The value of (x + 1/x) = 14.