Solve for X:

3cos(x) + 3 = -2cos^2(x), for x E [-pi, 3pi]

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- November 7th 2006, 05:50 PMMr_GreenSolve for X:
Solve for X:

3cos(x) + 3 = -2cos^2(x), for x E [-pi, 3pi] - November 7th 2006, 05:53 PMtopsquark

It might be easier for you to define y = cos(x), then look at:

You can use the quadratic equation to solve this, discard any solutions that are greater than 1 or less than -1, then take the inverse cosine.

The problem is that this quadratic has no real solutions. Thus you have no real solutions for x. Is there a typo perhaps?

-Dan - November 7th 2006, 08:27 PMMr_GreenI screwed Up
I screwed UP!

it should be

3cos(x) + 3 = 2 - 2cos^2(x), for x E [-pi, 3pi]

help is apreciated! - November 7th 2006, 09:17 PMJameson
Use the same substitution. You'll get a quadratic.