x^4-2x^2+2.25=0

Solution for x^4-2x^2+2.25=0 equation:

Simplifying
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.