SOLUTION: Please help me solve the problem: {{{sin(x) = x ^ 2}}} and please show how you solve this problem. Thank you.

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Question 205396: Please help me solve the problem:
sin%28x%29+=+x+%5E+2
and please show how you solve this problem.
Thank you.

Found 2 solutions by Edwin McCravy, Alan3354:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
sin%28x%29+=+x+%5E+2

When the unknown letter appears both inside
and outside a trig ratio in an equation, 
then there is no way to solve such an equation 
by any of the  methods of algebra. It can only 
be estimated using a graphical calculator.  
Of course we can see right off by inspection that 

x=0 is one solution.  

However there is another solution, which I
got from a TI-84.  Graph these:

Y%5B1%5D=sin%28x%29
Y%5B2%5D=x%5E2

with calculator in RADIAN mode.  Then find their
other point of intersection, which is
approximately

x=.8767262154

Edwin

Answer by Alan3354(69443) About Me  (Show Source):