p^4-p^2-20=0

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Solution for p^4-p^2-20=0 equation: 


Simplifying
p4 + -1p2 + -20 = 0

Reorder the terms:
-20 + -1p2 + p4 = 0

Solving
-20 + -1p2 + p4 = 0

Solving for variable 'p'.

Factor a trinomial.
(-4 + -1p2)(5 + -1p2) = 0


Subproblem 1
Set the factor '(-4 + -1p2)' equal to zero and attempt to solve:

Simplifying
-4 + -1p2 = 0

Solving
-4 + -1p2 = 0

Move all terms containing p to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + -1p2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1p2 = 0 + 4
-1p2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1p2 = 4

Divide each side by '-1'.
p2 = -4

Simplifying
p2 = -4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5 + -1p2)' equal to zero and attempt to solve:

Simplifying
5 + -1p2 = 0

Solving
5 + -1p2 = 0

Move all terms containing p to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1p2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1p2 = 0 + -5
-1p2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1p2 = -5

Divide each side by '-1'.
p2 = 5

Simplifying
p2 = 5

Take the square root of each side:
p = {-2.236067978, 2.236067978}
Solution
p = {-2.236067978, 2.236067978}

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