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- Jul 27th 2010, 06:26 AMfxs12equation 1
- Jul 27th 2010, 06:32 AMProve It
Bring everything to one side

.

Now work out the factors (positive and negative) of .

Substitute each of these factors into the polynomial.

By the factor theorem, if any of these factors (call it ) makes the polynomial , then is a factor. - Jul 27th 2010, 06:42 AMUnknown008
Solve in R? Do you mean for the real solutions?

Anyway, rearrange;

Then, I'll use the factor theorem.

Let f(x) = x^4 - 2x^2 - 400x - 9999

By trial and error, find the values of x that are factors of 9999 that make f(x) = 0. Those are the factors of your equation.

Use long division or inspection to divide f(x) by their factors to get other factors, until you get a quadratic which is more easily factorised.

If it cannot be solved, then the values you got for f(x) = 0 are the only solutions.

EDIT: Woops, too late... I was making sure there were solutions =S