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Simplifying p4 + 6p2 + -16 = 0 Reorder the terms: -16 + 6p2 + p4 = 0 Solving -16 + 6p2 + p4 = 0 Solving for variable 'p'. Factor a trinomial. (-8 + -1p2)(2 + -1p2) = 0Subproblem 1
Set the factor '(-8 + -1p2)' equal to zero and attempt to solve: Simplifying -8 + -1p2 = 0 Solving -8 + -1p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1p2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1p2 = 0 + 8 -1p2 = 0 + 8 Combine like terms: 0 + 8 = 8 -1p2 = 8 Divide each side by '-1'. p2 = -8 Simplifying p2 = -8 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 '(2 + -1p2)' equal to zero and attempt to solve: Simplifying 2 + -1p2 = 0 Solving 2 + -1p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p2 = 0 + -2 -1p2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1p2 = -2 Divide each side by '-1'. p2 = 2 Simplifying p2 = 2 Take the square root of each side: p = {-1.414213562, 1.414213562}Solution
p = {-1.414213562, 1.414213562}
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