k^2-k-17=-25

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Solution for k^2-k-17=-25 equation:


Simplifying
k2 + -1k + -17 = -25

Reorder the terms:
-17 + -1k + k2 = -25

Solving
-17 + -1k + k2 = -25

Solving for variable 'k'.

Reorder the terms:
-17 + 25 + -1k + k2 = -25 + 25

Combine like terms: -17 + 25 = 8
8 + -1k + k2 = -25 + 25

Combine like terms: -25 + 25 = 0
8 + -1k + k2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -1k + -8 + k2 = 0 + -8

Reorder the terms:
8 + -8 + -1k + k2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1k + k2 = 0 + -8
-1k + k2 = 0 + -8

Combine like terms: 0 + -8 = -8
-1k + k2 = -8

The k term is -1k.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1k + 0.25 + k2 = -8 + 0.25

Reorder the terms:
0.25 + -1k + k2 = -8 + 0.25

Combine like terms: -8 + 0.25 = -7.75
0.25 + -1k + k2 = -7.75

Factor a perfect square on the left side:
(k + -0.5)(k + -0.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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