0=x^4-13x^2+49

Solution for 0=x^4-13x^2+49 equation:

Simplifying
0 = x4 + -13x2 + 49

Reorder the terms:
0 = 49 + -13x2 + x4

Solving
0 = 49 + -13x2 + x4

Solving for variable 'x'.

Combine like terms: 0 + -49 = -49
-49 + 13x2 + -1x4 = 49 + -13x2 + x4 + -49 + 13x2 + -1x4

Reorder the terms:
-49 + 13x2 + -1x4 = 49 + -49 + -13x2 + 13x2 + x4 + -1x4

Combine like terms: 49 + -49 = 0
-49 + 13x2 + -1x4 = 0 + -13x2 + 13x2 + x4 + -1x4
-49 + 13x2 + -1x4 = -13x2 + 13x2 + x4 + -1x4

Combine like terms: -13x2 + 13x2 = 0
-49 + 13x2 + -1x4 = 0 + x4 + -1x4
-49 + 13x2 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-49 + 13x2 + -1x4 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
49 + -13x2 + x4 = 0

Move the constant term to the right:

Add '-49' to each side of the equation.
49 + -13x2 + -49 + x4 = 0 + -49

Reorder the terms:
49 + -49 + -13x2 + x4 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -13x2 + x4 = 0 + -49
-13x2 + x4 = 0 + -49

Combine like terms: 0 + -49 = -49
-13x2 + x4 = -49

The x term is -13x2.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13x2 + 42.25 + x4 = -49 + 42.25

Reorder the terms:
42.25 + -13x2 + x4 = -49 + 42.25

Combine like terms: -49 + 42.25 = -6.75
42.25 + -13x2 + x4 = -6.75

Factor a perfect square on the left side:
(x2 + -6.5)(x2 + -6.5) = -6.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.