goldie123
goldie123 goldie123
  • 23-06-2017
  • Mathematics
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how many solutions does cosx =x^ 2 have?

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Luv2Teach
Luv2Teach Luv2Teach
  • 23-06-2017
Like any other polynomial, you judge the number of solutions by the highest degree of the polynomial.  This is a second degree polynomial so it has 2 solutions.  They are x = +[sqrt(cos x)] and x = - [sqrt(cos x)].  If you graph those on a calculator the positive portion of the graph is above the x axis and the negative portion is below the x axis.  It's really cool looking.  You should graph it to see.
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