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

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

Respuesta :

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]

Answer Link

Otras preguntas

The following are four largest country's in the world Russia Canada China united states what country located in south america also ranks as one of the ten large
what is 15.70796327 rounded to 1 decimal point?
How do I write an equation in slope intercept form from; Slope 3, y-intercept at -4
Which is larger 7% or 0.7 why?
this gas makes up close to one fourth of the air surrounding earth
which has the least absolute value?A. 5B. 30C. -10D. -50
If a potato is allowed to dehydrate by sitting in open air, would the potato cells be more likely to absorb more water or less?
A spinner is divided into 16 sections.3 sections are red 6 are blue 5 are purple and 2 are orange. If you spin the spinner what is the probability that you will
how do you solve: 4 + |k + 1| <15
Write the name of a shape that has no sides and no vertices