9t^4-14t^2+9=0

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Solution for 9t^4-14t^2+9=0 equation:


Simplifying
9t4 + -14t2 + 9 = 0

Reorder the terms:
9 + -14t2 + 9t4 = 0

Solving
9 + -14t2 + 9t4 = 0

Solving for variable 't'.

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

Divide each side by '9'.
1 + -1.555555556t2 + t4 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.555555556t2 + -1 + t4 = 0 + -1

Reorder the terms:
1 + -1 + -1.555555556t2 + t4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.555555556t2 + t4 = 0 + -1
-1.555555556t2 + t4 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.555555556t2 + t4 = -1

The t term is -1.555555556t2.  Take half its coefficient (-0.777777778).
Square it (0.6049382720) and add it to both sides.

Add '0.6049382720' to each side of the equation.
-1.555555556t2 + 0.6049382720 + t4 = -1 + 0.6049382720

Reorder the terms:
0.6049382720 + -1.555555556t2 + t4 = -1 + 0.6049382720

Combine like terms: -1 + 0.6049382720 = -0.395061728
0.6049382720 + -1.555555556t2 + t4 = -0.395061728

Factor a perfect square on the left side:
(t2 + -0.777777778)(t2 + -0.777777778) = -0.395061728

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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