Question

If 2a+ 2/a =4, what is the value of 2a^2− 2/a^2 ?

Answer 1

2a² -
`(2)/(a^2)` = 0

Explanation:

If 2a + 2/a = 4

Multiplying by a throughout to get:

2a² + 2 = 4a

Making this a quadratic equation:

2a² - 4a + 2 = 0

Dividing by 2 throughout:

a² - 2a + 1 = 0

Applying the quadratic formula:

a =
`(2 +/- 0)/(2)`

a = 1

2a² -
`(2)/(a^2)` = 2 - 2 = 0

Answer 2

Here is a step-by-step process to solve this problem.