Question

Solve
w^4-6w^2-2=0

Answer 1

start with x=w^2

Answer 2

solve for x as a quadratic equation

Answer 3

x^2-6x-2

Answer 4

Because the highest degree is 4 you should expect 4 solutions. But to begin with we will let x = w^2

x^2 - 6x - 2 = 0

Using the quadratic formula we get the result:

\[3\pm \sqrt{11}\] This is a real solution therefore the other two solutions will be complex

Answer 5

thats saying that x^2 = 3+- sqroot of x or did you do it twice

Answer 6

you'd have to take the answer you get for the quadratic equation and take the square root of that

Answer 7

to get x

Answer 8

well i mean w^2 because you used substitution x=w^2 and you are trying to find w. so you have to take the sqroot of x

Answer 9

Yes I skipped that step....

Answer 10

you sould get 4 answers however 2 are non real so you are only goin to get 2

Answer 11

they are 2.513289635 and - 2.513289635