a^2-22a+185=0

Simple and best practice solution for a^2-22a+185=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 a^2-22a+185=0 equation:


Simplifying
a2 + -22a + 185 = 0

Reorder the terms:
185 + -22a + a2 = 0

Solving
185 + -22a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-185' to each side of the equation.
185 + -22a + -185 + a2 = 0 + -185

Reorder the terms:
185 + -185 + -22a + a2 = 0 + -185

Combine like terms: 185 + -185 = 0
0 + -22a + a2 = 0 + -185
-22a + a2 = 0 + -185

Combine like terms: 0 + -185 = -185
-22a + a2 = -185

The a term is -22a.  Take half its coefficient (-11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
-22a + 121 + a2 = -185 + 121

Reorder the terms:
121 + -22a + a2 = -185 + 121

Combine like terms: -185 + 121 = -64
121 + -22a + a2 = -64

Factor a perfect square on the left side:
(a + -11)(a + -11) = -64

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 3/2(20)-4 | | Xsquared-6x=6 | | 2w+3=4w+-5 | | 3+2q-(4q+9)-(5q+6)= | | 6(x+3)-3(x+2)=27 | | 57-(5x+4)=5(x+4)+x | | 24=16tsquared | | 26x-8-16x+2=26x-4-16x+17 | | 6(2+4y)=2y+4y+8y | | 3.5(1)=3.5 | | x/0.9=7.2 | | (72y^3)/(64y^7) | | ((x)/(0.01-x)(0.02-x))=0.45 | | 10p+56=176-p | | (72y^3/64y^7) | | b/6=-28 | | (3x/5)-7=(2x/6)+1 | | 72y^3/64y^7 | | a-3.95=1.5 | | 55=(9-d)11 | | 4+7y=10 | | mx^2-(m-3)x+4m=0 | | -19+x=x+22 | | -8x+4=-26x | | 5(x+2.5)=4x-7.5 | | 16(3x-8)=4(12x+2) | | 4x^2+20=24x | | 7(k+m)=7k+7m | | 4(2x+5)=2(3x+5) | | (6+u)(4u-9)= | | x*2+12x-2=0 | | y+4=(x+2) |

Equations solver categories