x*x*x*x-2*x*x+2.25=0

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Solution for x*x*x*x-2*x*x+2.25=0 equation:


Simplifying
x * x * x * x + -2x * x + 2.25 = 0

Multiply x * x
x2 * x * x + -2x * x + 2.25 = 0

Multiply x2 * x
x3 * x + -2x * x + 2.25 = 0

Multiply x3 * x
x4 + -2x * x + 2.25 = 0

Multiply x * x
x4 + -2x2 + 2.25 = 0

Reorder the terms:
2.25 + -2x2 + x4 = 0

Solving
2.25 + -2x2 + x4 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + -2x2 + -2.25 + x4 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + -2x2 + x4 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -2x2 + x4 = 0 + -2.25
-2x2 + x4 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
-2x2 + x4 = -2.25

The x term is -2x2.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x2 + 1 + x4 = -2.25 + 1

Reorder the terms:
1 + -2x2 + x4 = -2.25 + 1

Combine like terms: -2.25 + 1 = -1.25
1 + -2x2 + x4 = -1.25

Factor a perfect square on the left side:
(x2 + -1)(x2 + -1) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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