a^4+2a^2+9=

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Solution for a^4+2a^2+9= equation:


Simplifying
a4 + 2a2 + 9 = 0

Reorder the terms:
9 + 2a2 + a4 = 0

Solving
9 + 2a2 + a4 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 2a2 + -9 + a4 = 0 + -9

Reorder the terms:
9 + -9 + 2a2 + a4 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2a2 + a4 = 0 + -9
2a2 + a4 = 0 + -9

Combine like terms: 0 + -9 = -9
2a2 + a4 = -9

The a term is 2a2.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2a2 + 1 + a4 = -9 + 1

Reorder the terms:
1 + 2a2 + a4 = -9 + 1

Combine like terms: -9 + 1 = -8
1 + 2a2 + a4 = -8

Factor a perfect square on the left side:
(a2 + 1)(a2 + 1) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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