r^2-3r+10=0

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Solution for r^2-3r+10=0 equation:


Simplifying
r2 + -3r + 10 = 0

Reorder the terms:
10 + -3r + r2 = 0

Solving
10 + -3r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -3r + -10 + r2 = 0 + -10

Reorder the terms:
10 + -10 + -3r + r2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3r + r2 = 0 + -10
-3r + r2 = 0 + -10

Combine like terms: 0 + -10 = -10
-3r + r2 = -10

The r term is -3r.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3r + 2.25 + r2 = -10 + 2.25

Reorder the terms:
2.25 + -3r + r2 = -10 + 2.25

Combine like terms: -10 + 2.25 = -7.75
2.25 + -3r + r2 = -7.75

Factor a perfect square on the left side:
(r + -1.5)(r + -1.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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