b^2-13b+18=0

Simple and best practice solution for b^2-13b+18=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 b^2-13b+18=0 equation: 


Simplifying
b2 + -13b + 18 = 0

Reorder the terms:
18 + -13b + b2 = 0

Solving
18 + -13b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -13b + -18 + b2 = 0 + -18

Reorder the terms:
18 + -18 + -13b + b2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -13b + b2 = 0 + -18
-13b + b2 = 0 + -18

Combine like terms: 0 + -18 = -18
-13b + b2 = -18

The b term is -13b.  Take half its coefficient (-6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
-13b + 42.25 + b2 = -18 + 42.25

Reorder the terms:
42.25 + -13b + b2 = -18 + 42.25

Combine like terms: -18 + 42.25 = 24.25
42.25 + -13b + b2 = 24.25

Factor a perfect square on the left side:
(b + -6.5)(b + -6.5) = 24.25

Calculate the square root of the right side: 4.924428901

Break this problem into two subproblems by setting 
(b + -6.5) equal to 4.924428901 and -4.924428901.


Subproblem 1
b + -6.5 = 4.924428901

Simplifying
b + -6.5 = 4.924428901

Reorder the terms:
-6.5 + b = 4.924428901

Solving
-6.5 + b = 4.924428901

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '6.5' to each side of the equation.
-6.5 + 6.5 + b = 4.924428901 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + b = 4.924428901 + 6.5
b = 4.924428901 + 6.5

Combine like terms: 4.924428901 + 6.5 = 11.424428901
b = 11.424428901

Simplifying
b = 11.424428901


Subproblem 2
b + -6.5 = -4.924428901

Simplifying
b + -6.5 = -4.924428901

Reorder the terms:
-6.5 + b = -4.924428901

Solving
-6.5 + b = -4.924428901

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '6.5' to each side of the equation.
-6.5 + 6.5 + b = -4.924428901 + 6.5

Combine like terms: -6.5 + 6.5 = 0.0
0.0 + b = -4.924428901 + 6.5
b = -4.924428901 + 6.5

Combine like terms: -4.924428901 + 6.5 = 1.575571099
b = 1.575571099

Simplifying
b = 1.575571099


Solution
The solution to the problem is based on the solutions
from the subproblems.
b = {11.424428901, 1.575571099}

See similar equations:

| -5x-8= | | X=[(-10)+3] | | 7*=-154 | | 2-3x+x^2= | | 84.26*0.001= | | -5.337*1000= | | (2a+3)(a+4)= | | 5.8*10= | | 5ax-x=y | | 498.3*0.049= | | -5x-12=27 | | 1.9s+6=3.1-1s | | 7.6*0.9= | | .25(3s-14)=4 | | 0.11*8= | | 4-5x+x^2= | | 12c^2+8c-11=0 | | 82-60= | | 18-2.1= | | (2a-1)(4a-3)= | | 12.3x-5.1x=-43.2 | | -5.9-(-7.8)= | | 36x^2+12x+1= | | 2(x-4)=6x-9 | | 25.45+(-5.33)= | | -12x-14=14 | | 17+18m+m^2= | | 28x=36x-105 | | 2a+4.2=3.9-1.6 | | -22=c+6 | | 10n^2-17n+7= | | -12-14=14 |

Equations solver categories