SOLUTION: Can someone help me solve this please? w^4-18w^2-2=0 What is the solution?

Question 332342: Can someone help me solve this please?
w^4-18w^2-2=0
What is the solution?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
It's a quadratic in w^2
Sub x for w^2 and solve it with the quadratic eqn.
Then, each of the 2 solutions = w^2
Take the sq root of each of them.
---------------
Solve for x, which is w^2

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=332 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 18.1104335791443, -0.110433579144299. Here's your graph:

--------------
w^2 = 9 � sqrt(83)
=~ 18.1104
=~ 0.1104
=~ -18.1104
=~ -0.1104

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