w^2-17w+100=0

Solution for w^2-17w+100=0 equation:

Simplifying
w2 + -17w + 100 = 0

Reorder the terms:
100 + -17w + w2 = 0

Solving
100 + -17w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-100' to each side of the equation.
100 + -17w + -100 + w2 = 0 + -100

Reorder the terms:
100 + -100 + -17w + w2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -17w + w2 = 0 + -100
-17w + w2 = 0 + -100

Combine like terms: 0 + -100 = -100
-17w + w2 = -100

The w term is -17w.  Take half its coefficient (-8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
-17w + 72.25 + w2 = -100 + 72.25

Reorder the terms:
72.25 + -17w + w2 = -100 + 72.25

Combine like terms: -100 + 72.25 = -27.75
72.25 + -17w + w2 = -27.75

Factor a perfect square on the left side:
(w + -8.5)(w + -8.5) = -27.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.