r^2-2r+24=0

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Solution for r^2-2r+24=0 equation:


Simplifying
r2 + -2r + 24 = 0

Reorder the terms:
24 + -2r + r2 = 0

Solving
24 + -2r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-24' to each side of the equation.
24 + -2r + -24 + r2 = 0 + -24

Reorder the terms:
24 + -24 + -2r + r2 = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -2r + r2 = 0 + -24
-2r + r2 = 0 + -24

Combine like terms: 0 + -24 = -24
-2r + r2 = -24

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

Add '1' to each side of the equation.
-2r + 1 + r2 = -24 + 1

Reorder the terms:
1 + -2r + r2 = -24 + 1

Combine like terms: -24 + 1 = -23
1 + -2r + r2 = -23

Factor a perfect square on the left side:
(r + -1)(r + -1) = -23

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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