z^4-11z^2+49=0

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Solution for z^4-11z^2+49=0 equation:


Simplifying
z4 + -11z2 + 49 = 0

Reorder the terms:
49 + -11z2 + z4 = 0

Solving
49 + -11z2 + z4 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-49' to each side of the equation.
49 + -11z2 + -49 + z4 = 0 + -49

Reorder the terms:
49 + -49 + -11z2 + z4 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -11z2 + z4 = 0 + -49
-11z2 + z4 = 0 + -49

Combine like terms: 0 + -49 = -49
-11z2 + z4 = -49

The z term is -11z2.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11z2 + 30.25 + z4 = -49 + 30.25

Reorder the terms:
30.25 + -11z2 + z4 = -49 + 30.25

Combine like terms: -49 + 30.25 = -18.75
30.25 + -11z2 + z4 = -18.75

Factor a perfect square on the left side:
(z2 + -5.5)(z2 + -5.5) = -18.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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