r^4-25=

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Solution for r^4-25= equation:


Simplifying
r4 + -25 = 0

Reorder the terms:
-25 + r4 = 0

Solving
-25 + r4 = 0

Solving for variable 'r'.

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

Add '25' to each side of the equation.
-25 + 25 + r4 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + r4 = 0 + 25
r4 = 0 + 25

Combine like terms: 0 + 25 = 25
r4 = 25

Simplifying
r4 = 25

Reorder the terms:
-25 + r4 = 25 + -25

Combine like terms: 25 + -25 = 0
-25 + r4 = 0

Factor a difference between two squares.
(5 + r2)(-5 + r2) = 0

Subproblem 1

Set the factor '(5 + r2)' equal to zero and attempt to solve: Simplifying 5 + r2 = 0 Solving 5 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + r2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + r2 = 0 + -5 r2 = 0 + -5 Combine like terms: 0 + -5 = -5 r2 = -5 Simplifying r2 = -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 '(-5 + r2)' equal to zero and attempt to solve: Simplifying -5 + r2 = 0 Solving -5 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + r2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + r2 = 0 + 5 r2 = 0 + 5 Combine like terms: 0 + 5 = 5 r2 = 5 Simplifying r2 = 5 Take the square root of each side: r = {-2.236067978, 2.236067978}

Solution

r = {-2.236067978, 2.236067978}

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