t^2+5=2t

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Solution for t^2+5=2t equation:


Simplifying
t2 + 5 = 2t

Reorder the terms:
5 + t2 = 2t

Solving
5 + t2 = 2t

Solving for variable 't'.

Reorder the terms:
5 + -2t + t2 = 2t + -2t

Combine like terms: 2t + -2t = 0
5 + -2t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2t + -5 + t2 = 0 + -5

Reorder the terms:
5 + -5 + -2t + t2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2t + t2 = 0 + -5
-2t + t2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2t + t2 = -5

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

Add '1' to each side of the equation.
-2t + 1 + t2 = -5 + 1

Reorder the terms:
1 + -2t + t2 = -5 + 1

Combine like terms: -5 + 1 = -4
1 + -2t + t2 = -4

Factor a perfect square on the left side:
(t + -1)(t + -1) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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