SOLUTION: how do you solve x^4+x^2-30 ?

Question 709890: how do you solve x^4+x^2-30 ?
Answer by josh_jordan(263) (Show Source): You can put this solution on YOUR website!
To solve, let's first factor our expression: x^4 + x^2 - 30. What two numbers, when multiplied, give us -30, and when added, give us 1? Let's find out:
-1 x 30 = -30; -1 + 30 = 29 NO

-2 x 15 = -30; -2 + 15 = 13 NO

-3 x 10 = -30; -3 + 10 = 7 NO

-5 x 6 = -30; -5 + 6 = 1 YES!!

Since -5 and 6 work, we will now factor our expression:

To find x, we will set each of these factors equal to 0:

x^2 - 5 = 0 =

Add 5 to both sides:

x^2 = 5

Finally, take the square root of both sides, remembering to add a +- sign. This gives us

Now, take our other factor and set to zero:

x^2 + 6 = 0

Subtract 6 from both sides, giving us

x^2 = -6

Take the square root of both sides, remembering to add a +- sign to the right side equation:

Remember that since ,

Our final answer is x = , , , and
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