t^2-6t+31=0

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Solution for t^2-6t+31=0 equation:


Simplifying
t2 + -6t + 31 = 0

Reorder the terms:
31 + -6t + t2 = 0

Solving
31 + -6t + t2 = 0

Solving for variable 't'.

Begin completing the square.

Move the constant term to the right:

Add '-31' to each side of the equation.
31 + -6t + -31 + t2 = 0 + -31

Reorder the terms:
31 + -31 + -6t + t2 = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -6t + t2 = 0 + -31
-6t + t2 = 0 + -31

Combine like terms: 0 + -31 = -31
-6t + t2 = -31

The t term is -6t.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6t + 9 + t2 = -31 + 9

Reorder the terms:
9 + -6t + t2 = -31 + 9

Combine like terms: -31 + 9 = -22
9 + -6t + t2 = -22

Factor a perfect square on the left side:
(t + -3)(t + -3) = -22

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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