y^4-13y^2-1764=0

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Solution for y^4-13y^2-1764=0 equation: 


Simplifying
y4 + -13y2 + -1764 = 0

Reorder the terms:
-1764 + -13y2 + y4 = 0

Solving
-1764 + -13y2 + y4 = 0

Solving for variable 'y'.

Factor a trinomial.
(-36 + -1y2)(49 + -1y2) = 0

Factor a difference between two squares.
(-36 + -1y2)((7 + y)(7 + -1y)) = 0


Subproblem 1
Set the factor '(-36 + -1y2)' equal to zero and attempt to solve:

Simplifying
-36 + -1y2 = 0

Solving
-36 + -1y2 = 0

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

Add '36' to each side of the equation.
-36 + 36 + -1y2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -1y2 = 0 + 36
-1y2 = 0 + 36

Combine like terms: 0 + 36 = 36
-1y2 = 36

Divide each side by '-1'.
y2 = -36

Simplifying
y2 = -36

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 '(7 + y)' equal to zero and attempt to solve:

Simplifying
7 + y = 0

Solving
7 + y = 0

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

Add '-7' to each side of the equation.
7 + -7 + y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + y = 0 + -7
y = 0 + -7

Combine like terms: 0 + -7 = -7
y = -7

Simplifying
y = -7

Subproblem 3
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {-7, 7}

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