y^4=1000000

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Solution for y^4=1000000 equation:


Simplifying
y4 = 1000000

Solving
y4 = 1000000

Solving for variable 'y'.

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

Simplifying
y4 = 1000000

Reorder the terms:
-1000000 + y4 = 1000000 + -1000000

Combine like terms: 1000000 + -1000000 = 0
-1000000 + y4 = 0

Factor a difference between two squares.
(1000 + y2)(-1000 + y2) = 0

Subproblem 1

Set the factor '(1000 + y2)' equal to zero and attempt to solve: Simplifying 1000 + y2 = 0 Solving 1000 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + y2 = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + y2 = 0 + -1000 y2 = 0 + -1000 Combine like terms: 0 + -1000 = -1000 y2 = -1000 Simplifying y2 = -1000 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 '(-1000 + y2)' equal to zero and attempt to solve: Simplifying -1000 + y2 = 0 Solving -1000 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '1000' to each side of the equation. -1000 + 1000 + y2 = 0 + 1000 Combine like terms: -1000 + 1000 = 0 0 + y2 = 0 + 1000 y2 = 0 + 1000 Combine like terms: 0 + 1000 = 1000 y2 = 1000 Simplifying y2 = 1000 Take the square root of each side: y = {-31.622776602, 31.622776602}

Solution

y = {-31.622776602, 31.622776602}

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