Posted by **Melinda** on Friday, December 9, 2011 at 1:23am.

Determine the x-intercepts of the polynomial function y=-6(x+7)^4 + 5. Round to two decimal places, if necessary.

y=-6(x+7)^4 + 5

0=-6(x+7)^4 + 5

-5=6(x+7)^4

-5/6 =(x+7)^4

There are no x-intercepts??

- precalculus -
**Steve**, Friday, December 9, 2011 at 11:39am
Since it's a parabola opening downward, and is shifted up 5 units, you know that it will have two x-intercepts. So, what went wrong?

You lost a "-" sign after the 2nd line.

-5 = -6(x+7)^4

5/6 = (x+7)^4

±(5/6)^(1/4) = x+7

x = -7 ±(5/6)^(1/4) = -7 ± .955

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