Question

If 2a+1/2a=10 find : 4a2+1/4a2

Answer 1

98

Explanation:

(2a +
`(1)/(2a)` )² = 4a² + 2 +
`(1)/(4a^2)` , thus

10² = 4a² + 2 +
`(1)/(4a^2)` ( subtract 2 from both sides )

100 - 2 = 4a² +
`(1)/(4a^2)` , that is

4a² +
`(1)/(4a^2)` = 98