4c^4-9=

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Solution for 4c^4-9= equation:


Simplifying
4c4 + -9 = 0

Reorder the terms:
-9 + 4c4 = 0

Solving
-9 + 4c4 = 0

Solving for variable 'c'.

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

Add '9' to each side of the equation.
-9 + 9 + 4c4 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4c4 = 0 + 9
4c4 = 0 + 9

Combine like terms: 0 + 9 = 9
4c4 = 9

Divide each side by '4'.
c4 = 2.25

Simplifying
c4 = 2.25

Reorder the terms:
-2.25 + c4 = 2.25 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + c4 = 0.00

Factor a difference between two squares.
(1.5 + c2)(-1.5 + c2) = 0.00

Subproblem 1

Set the factor '(1.5 + c2)' equal to zero and attempt to solve: Simplifying 1.5 + c2 = 0 Solving 1.5 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + c2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + c2 = 0 + -1.5 c2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 c2 = -1.5 Simplifying c2 = -1.5 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 '(-1.5 + c2)' equal to zero and attempt to solve: Simplifying -1.5 + c2 = 0 Solving -1.5 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + c2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + c2 = 0 + 1.5 c2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 c2 = 1.5 Simplifying c2 = 1.5 Take the square root of each side: c = {-1.224744871, 1.224744871}

Solution

c = {-1.224744871, 1.224744871}

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