x^2-11x+29=0

Simple and best practice solution for x^2-11x+29=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 x^2-11x+29=0 equation: 


Simplifying
x2 + -11x + 29 = 0

Reorder the terms:
29 + -11x + x2 = 0

Solving
29 + -11x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + -11x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + -11x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -11x + x2 = 0 + -29
-11x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
-11x + x2 = -29

The x term is -11x.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11x + 30.25 + x2 = -29 + 30.25

Reorder the terms:
30.25 + -11x + x2 = -29 + 30.25

Combine like terms: -29 + 30.25 = 1.25
30.25 + -11x + x2 = 1.25

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = 1.25

Calculate the square root of the right side: 1.118033989

Break this problem into two subproblems by setting 
(x + -5.5) equal to 1.118033989 and -1.118033989.


Subproblem 1
x + -5.5 = 1.118033989

Simplifying
x + -5.5 = 1.118033989

Reorder the terms:
-5.5 + x = 1.118033989

Solving
-5.5 + x = 1.118033989

Solving for variable 'x'.

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + x = 1.118033989 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + x = 1.118033989 + 5.5
x = 1.118033989 + 5.5

Combine like terms: 1.118033989 + 5.5 = 6.618033989
x = 6.618033989

Simplifying
x = 6.618033989


Subproblem 2
x + -5.5 = -1.118033989

Simplifying
x + -5.5 = -1.118033989

Reorder the terms:
-5.5 + x = -1.118033989

Solving
-5.5 + x = -1.118033989

Solving for variable 'x'.

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

Add '5.5' to each side of the equation.
-5.5 + 5.5 + x = -1.118033989 + 5.5

Combine like terms: -5.5 + 5.5 = 0.0
0.0 + x = -1.118033989 + 5.5
x = -1.118033989 + 5.5

Combine like terms: -1.118033989 + 5.5 = 4.381966011
x = 4.381966011

Simplifying
x = 4.381966011


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.618033989, 4.381966011}

See similar equations:

| 21=j/27 | | 2h-18=28 | | (x+y+3)(x+y-4)=0 | | v+742=750 | | -8=v/19 | | v+42=99 | | 3m-12=18 | | 80=f+18 | | 5x+3=4x-2 | | -26z=832 | | -22w=-110 | | 4x+7y=21 | | 25x+8-28x=4-8 | | -6t=96 | | 80x^2-36x-80=0 | | -5p+10=75 | | 2x-8+x-50+13x+30=180 | | -8(-8+3v)=-29+7v | | 7x+4=36x+19 | | 3(x-5)=5(x-3) | | x-61=73.5 | | 7k+42=21 | | j-55=3 | | x^2+91x=0 | | 4+x=-5 | | 2q+3q+6q-6= | | 6d+8=50 | | v+6=50 | | r/6=7 | | -8-7(-p-7)=-23-p | | g+14=70 | | n-9=-16 |

Equations solver categories