Find the intercepts of y=x^4-10x^2-96

I can't seem to find them. I set y to zero to find x and set x to zero to find y. Thanks.

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- Jul 9th 2012, 07:59 AMkmerr98277Find the intercepts of y=x^4-10x^2-96
Find the intercepts of y=x^4-10x^2-96

I can't seem to find them. I set y to zero to find x and set x to zero to find y. Thanks. - Jul 9th 2012, 08:04 AMrichard1234Re: Find the intercepts of y=x^4-10x^2-96
When x = 0, y = -96, so the y-intercept is (0,-96).

When y = 0, you have the quartic equation . Quartics are not easy to solve but you can let , so

. This factors to . Discard the imaginary solutions since the x-axis only takes on real values. Therefore the x-intercepts are (-4,0) and (4,0). - Jul 9th 2012, 08:26 AMkmerr98277Re: Find the intercepts of y=x^4-10x^2-96
Thanks!