r^2-6r+10=0

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Solution for r^2-6r+10=0 equation:


Simplifying
r2 + -6r + 10 = 0

Reorder the terms:
10 + -6r + r2 = 0

Solving
10 + -6r + 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 + -6r + -10 + r2 = 0 + -10

Reorder the terms:
10 + -10 + -6r + r2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6r + r2 = 0 + -10
-6r + r2 = 0 + -10

Combine like terms: 0 + -10 = -10
-6r + r2 = -10

The r term is -6r.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6r + 9 + r2 = -10 + 9

Reorder the terms:
9 + -6r + r2 = -10 + 9

Combine like terms: -10 + 9 = -1
9 + -6r + r2 = -1

Factor a perfect square on the left side:
(r + -3)(r + -3) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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