chocopikachu752
chocopikachu752 chocopikachu752
  • 17-10-2020
  • Mathematics
contestada

Find the value of [tex]\frac{a^{2} }{a^{4}+a^{2}+1}[/tex] if [tex]\frac{a}{a^{2}+a+1}[/tex] = [tex]\frac{1}{6}[/tex]. Please show all work.

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loopianistshave loopianistshave
  • 17-10-2020
1/a^2+a+1 put in fraction form
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tammywarnick3 tammywarnick3
  • 17-10-2020

Answer:

1/36

Step-by-step explanation:

notice the first equation is the second equation squared.

For instance, look at the numerator: a squared is a^2

Look at the denominator: a^2 squared is a^4 and so on.

So if the second equation is 1/6, then you need to square it to have it equal the second equation: (1/6)^2 = 1/36

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