precalculus
posted by Melinda .
Determine the xintercepts 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 xintercepts??

Since it's a parabola opening downward, and is shifted up 5 units, you know that it will have two xintercepts. 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