mtlknv mtlknv
  • 13-04-2019
  • Mathematics
contestada

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

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samia2020
samia2020 samia2020
  • 13-04-2019
Here is a step-by-step process to solve this problem.
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Аноним Аноним
  • 13-04-2019

Answer:

2a² - [tex]\frac{2}{a^2}[/tex] = 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 = [tex]\frac{2 +/- 0}{2}[/tex]

a = 1

2a² - [tex]\frac{2}{a^2}[/tex] = 2 - 2 = 0

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