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

what are 3 things an adverb tells about a verb?
Which ordered pairs are solutions to the inequality y−4x≥−5y ? Select each correct answer. (1, −1) (5, −2) (−2, 1) (−4, 2) (4, 0)
How many valence electrons are in an atom of magnesium?
I think it's 74 but I want someone else's opinion, please help
A chemical produced in growing tips of plants is called a(n): cell vitamin protein auxin PLEASE HELP I WILL UPVOTE. (DO NOT GET THE ANSWER WRONG PLEASE)
In a 5 km race, Anna swims 450 m, then runs 800 m. She then cycles the rest of the race. How many kilometres does she cycle?
Charlemagne was crowned emperor on ________ in the year 800 by Pope Leo III. Good Friday All Saints Day Christmas Day Easter
If the perimeter of a square mirror is 68 inches, what is the area in square inches?
how could you determine if a tissue you are looking at could only be from the heart?
during ww1 , tanks were used on the western front primarily to ?