pr3tz81scut2
pr3tz81scut2 pr3tz81scut2
  • 04-04-2019
  • Mathematics
contestada

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

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 14-04-2019

ANSWER

0

EXPLANATION

Given :

[tex] \frac{2a + 2}{a} = 4[/tex]

We solve for 'a' to obtain,

[tex]2a + 2 = 4a[/tex]

This implies that,

[tex]2 = 4a - 2a[/tex]

[tex]2 = 2a[/tex]

This implies that,

[tex]a = 1[/tex]

We substitute a=1 into

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

This gives us,

[tex]\frac{ 2{(1)}^{2} - 2}{ {(1)}^{2} } = \frac{2 - 2}{2} = \frac{0}{2} = 0[/tex]

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