17r^2-4r+10=0

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Solution for 17r^2-4r+10=0 equation:


Simplifying
17r2 + -4r + 10 = 0

Reorder the terms:
10 + -4r + 17r2 = 0

Solving
10 + -4r + 17r2 = 0

Solving for variable 'r'.

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

Divide each side by '17'.
0.5882352941 + -0.2352941176r + r2 = 0

Move the constant term to the right:

Add '-0.5882352941' to each side of the equation.
0.5882352941 + -0.2352941176r + -0.5882352941 + r2 = 0 + -0.5882352941

Reorder the terms:
0.5882352941 + -0.5882352941 + -0.2352941176r + r2 = 0 + -0.5882352941

Combine like terms: 0.5882352941 + -0.5882352941 = 0.0000000000
0.0000000000 + -0.2352941176r + r2 = 0 + -0.5882352941
-0.2352941176r + r2 = 0 + -0.5882352941

Combine like terms: 0 + -0.5882352941 = -0.5882352941
-0.2352941176r + r2 = -0.5882352941

The r term is -0.2352941176r.  Take half its coefficient (-0.1176470588).
Square it (0.01384083044) and add it to both sides.

Add '0.01384083044' to each side of the equation.
-0.2352941176r + 0.01384083044 + r2 = -0.5882352941 + 0.01384083044

Reorder the terms:
0.01384083044 + -0.2352941176r + r2 = -0.5882352941 + 0.01384083044

Combine like terms: -0.5882352941 + 0.01384083044 = -0.57439446366
0.01384083044 + -0.2352941176r + r2 = -0.57439446366

Factor a perfect square on the left side:
(r + -0.1176470588)(r + -0.1176470588) = -0.57439446366

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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