a^4+11a^2+900=

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Solution for a^4+11a^2+900= equation: 


Simplifying
a4 + 11a2 + 900 = 0

Reorder the terms:
900 + 11a2 + a4 = 0

Solving
900 + 11a2 + a4 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-900' to each side of the equation.
900 + 11a2 + -900 + a4 = 0 + -900

Reorder the terms:
900 + -900 + 11a2 + a4 = 0 + -900

Combine like terms: 900 + -900 = 0
0 + 11a2 + a4 = 0 + -900
11a2 + a4 = 0 + -900

Combine like terms: 0 + -900 = -900
11a2 + a4 = -900

The a term is 11a2.  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.
11a2 + 30.25 + a4 = -900 + 30.25

Reorder the terms:
30.25 + 11a2 + a4 = -900 + 30.25

Combine like terms: -900 + 30.25 = -869.75
30.25 + 11a2 + a4 = -869.75

Factor a perfect square on the left side:
(a2 + 5.5)(a2 + 5.5) = -869.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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