Question

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

Answer 1

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

Answer 2

Answer:

2a² - $\frac{2}{a^2}$ = 0

Step-by-step 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 = $\frac{2 +/- 0}{2}$

a = 1

2a² - $\frac{2}{a^2}$ = 2 - 2 = 0