(Y^4)-(3y^2)+1=0

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Solution for (Y^4)-(3y^2)+1=0 equation:


Simplifying
(Y4) + -1(3y2) + 1 = 0
Y4 + -1(3y2) + 1 = 0

Remove parenthesis around (3y2)
Y4 + -1 * 3y2 + 1 = 0

Multiply -1 * 3
Y4 + -3y2 + 1 = 0

Reorder the terms:
1 + Y4 + -3y2 = 0

Solving
1 + Y4 + -3y2 = 0

Solving for variable 'Y'.

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

Add '-1' to each side of the equation.
1 + Y4 + -1 + -3y2 = 0 + -1

Reorder the terms:
1 + -1 + Y4 + -3y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + Y4 + -3y2 = 0 + -1
Y4 + -3y2 = 0 + -1

Combine like terms: 0 + -1 = -1
Y4 + -3y2 = -1

Add '3y2' to each side of the equation.
Y4 + -3y2 + 3y2 = -1 + 3y2

Combine like terms: -3y2 + 3y2 = 0
Y4 + 0 = -1 + 3y2
Y4 = -1 + 3y2

Simplifying
Y4 = -1 + 3y2

Reorder the terms:
1 + Y4 + -3y2 = -1 + 3y2 + 1 + -3y2

Reorder the terms:
1 + Y4 + -3y2 = -1 + 1 + 3y2 + -3y2

Combine like terms: -1 + 1 = 0
1 + Y4 + -3y2 = 0 + 3y2 + -3y2
1 + Y4 + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
1 + Y4 + -3y2 = 0

The solution to this equation could not be determined.

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