Question

if x=7+4√3 then find the value of x+1/
x​

Answer 1

Answer:

answer is 14

Step-by-step explanation:

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Answer 2

ANSWER :–

▪︎ (x + 1/x) = 14

EXPLANATION :–

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.