anonymous
  • anonymous
I forgot how to solve something as simple as this! please help 5c=(1+c^2)^2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[5c=(1+c ^{2})^{2} \]
anonymous
  • anonymous
Start by expanding it.
anonymous
  • anonymous
|dw:1378528358032:dw|

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anonymous
  • anonymous
Now get all terms on one side.
anonymous
  • anonymous
\[0=c ^{4}+2c ^{2}-5c+1\]
anonymous
  • anonymous
Now guess one of the roots.
anonymous
  • anonymous
what?
anonymous
  • anonymous
It's a \(4^{th}\) degree polynomial. It's not like you can use the quadratic equation.
anonymous
  • anonymous
You can use the rational root theorem most likely.
anonymous
  • anonymous
One of the roots is probably \[ \frac{\pm 1}{\pm 1} \]
anonymous
  • anonymous
I can't remember what's that or even if I've learned it... sorry.
anonymous
  • anonymous
One of the roots is probably \(1\) or \(-1\).
anonymous
  • anonymous
I know the anwers, I just dont know how to get them. one is .220 and the other 1.207
anonymous
  • anonymous
Well you could use newton's method.
anonymous
  • anonymous
omg, I remember that and it's very long. I'll just use an online program or something. But thank you :)
anonymous
  • anonymous
What were you expending? This isn't that trivial of a problem.

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