1.

If 2x = 3+√7, find 4x2+1/x2​

Answer»

2x = 3+√7

=> x = (3+√7)/2

4x²+1/x²

= 4{(3+√7)/2}² + 1/{(3+√7)/2}²

= 4{(16+6√7)/4} + 1/{(16+6√7)/4}

= (16+6√7) + 4/(16+6√7)

= (512+192√7)/(16+6√7)

= {32(16+6√7)}/(16+6√7)

= 32 .

Hope it's helpful to you.


Discussion

No Comment Found

Related InterviewSolutions