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3 years ago

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

Mathematics

1 answer:

aliina [53]3 years ago

5 0

Answer:

Step-by-step explanation:

2a+ 2/a =4

Multiply each side by a to clear the fraction

a( 2a+ 2/a) =4*a

Distribute

2a^2 +2 = 4a

Subtract 4a from each side

2a^2 -4a +2 = 4a-4a

2a^2 -4a +2 =0

Divide by 2

2/2 a^2 -4a/2 +2/2 =0/2

a^2 -2a +1=0

Factor

(a-1) (a-1) =0

Using the zero product property

a=1

2a^2 -2/a^2

2(1)^2 -2/1^2

2-2

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DaniilM [7]

Answer:

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Step-by-step explanation:

Poorly formatted question.

The given equation is:

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2 years ago

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Answer:

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