6n^4-13n^2-15=0

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Solution for 6n^4-13n^2-15=0 equation:


Simplifying
6n4 + -13n2 + -15 = 0

Reorder the terms:
-15 + -13n2 + 6n4 = 0

Solving
-15 + -13n2 + 6n4 = 0

Solving for variable 'n'.

Factor a trinomial.
(-5 + -6n2)(3 + -1n2) = 0

Subproblem 1

Set the factor '(-5 + -6n2)' equal to zero and attempt to solve: Simplifying -5 + -6n2 = 0 Solving -5 + -6n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -6n2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6n2 = 0 + 5 -6n2 = 0 + 5 Combine like terms: 0 + 5 = 5 -6n2 = 5 Divide each side by '-6'. n2 = -0.8333333333 Simplifying n2 = -0.8333333333 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 '(3 + -1n2)' equal to zero and attempt to solve: Simplifying 3 + -1n2 = 0 Solving 3 + -1n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1n2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1n2 = 0 + -3 -1n2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1n2 = -3 Divide each side by '-1'. n2 = 3 Simplifying n2 = 3 Take the square root of each side: n = {-1.732050808, 1.732050808}

Solution

n = {-1.732050808, 1.732050808}

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