r^2-2r+10=0

Simple and best practice solution for r^2-2r+10=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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


Simplifying
r2 + -2r + 10 = 0

Reorder the terms:
10 + -2r + r2 = 0

Solving
10 + -2r + 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 + -2r + -10 + r2 = 0 + -10

Reorder the terms:
10 + -10 + -2r + r2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -2r + r2 = 0 + -10
-2r + r2 = 0 + -10

Combine like terms: 0 + -10 = -10
-2r + r2 = -10

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 = -10 + 1

Reorder the terms:
1 + -2r + r2 = -10 + 1

Combine like terms: -10 + 1 = -9
1 + -2r + r2 = -9

Factor a perfect square on the left side:
(r + -1)(r + -1) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 18=2xn | | x^2-x-414=0 | | 9x+18x-x-2= | | 2x^4-8x^3+3x^2-12x=0 | | -2(5-2x)=8(2x+1) | | (2x-4x)+14+24x=16 | | t^2=4t | | (c^2+8c+19)=0 | | 6x+3=5-2(4+-1) | | x^2+12x+6=-5 | | 4y=2y+18 | | y=0.4x^2+5.4x+14.8 | | x^2-11001x-462000=0 | | c^2-9c+8= | | X^2-kx+36=0 | | m^2-m=0 | | 5-8x=86-29x | | -23-6x=8x+24 | | 9x-3=16x-43 | | 0.03p-0.12=-0.01p | | 80=3a+2y | | -3.9x-1=-3.7x+3 | | 5d^2-100=0 | | 2n+3.6=6.8 | | x^2+49-49=0 | | 3n+3.5=7.7 | | -36+16=-3x+7x | | 2x^3-3x^2*a-a^3=0 | | x^4-4x^4-5=0 | | 5(5x+8)=240 | | 0.4-18=3n-16-0.8n | | 2y+2=3+2y |

Equations solver categories