x^2-14x+11=0

Simple and best practice solution for x^2-14x+11=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^2-14x+11=0 equation: 


Simplifying
x2 + -14x + 11 = 0

Reorder the terms:
11 + -14x + x2 = 0

Solving
11 + -14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -14x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + -14x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -14x + x2 = 0 + -11
-14x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-14x + x2 = -11

The x term is -14x.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14x + 49 + x2 = -11 + 49

Reorder the terms:
49 + -14x + x2 = -11 + 49

Combine like terms: -11 + 49 = 38
49 + -14x + x2 = 38

Factor a perfect square on the left side:
(x + -7)(x + -7) = 38

Calculate the square root of the right side: 6.164414003

Break this problem into two subproblems by setting 
(x + -7) equal to 6.164414003 and -6.164414003.


Subproblem 1
x + -7 = 6.164414003

Simplifying
x + -7 = 6.164414003

Reorder the terms:
-7 + x = 6.164414003

Solving
-7 + x = 6.164414003

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = 6.164414003 + 7

Combine like terms: -7 + 7 = 0
0 + x = 6.164414003 + 7
x = 6.164414003 + 7

Combine like terms: 6.164414003 + 7 = 13.164414003
x = 13.164414003

Simplifying
x = 13.164414003


Subproblem 2
x + -7 = -6.164414003

Simplifying
x + -7 = -6.164414003

Reorder the terms:
-7 + x = -6.164414003

Solving
-7 + x = -6.164414003

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + x = -6.164414003 + 7

Combine like terms: -7 + 7 = 0
0 + x = -6.164414003 + 7
x = -6.164414003 + 7

Combine like terms: -6.164414003 + 7 = 0.835585997
x = 0.835585997

Simplifying
x = 0.835585997


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {13.164414003, 0.835585997}

See similar equations:

| 2x-3=43 | | 3x+2X=24 | | 5s+4r= | | x^2-6x-8=0 | | x^2+3-1=2 | | (10x-12)=4(x+2)+4 | | 3x^2-24x-6=0 | | 3s^4+10s^3+21s^2+24s-16=0 | | x+2=3x | | 7x^2-15x+6=0 | | 6x+10=10x-10 | | 5x^2+4=5 | | 3x*(x+4)=4x+1*(x+2) | | 7x^22=175 | | -2y+11=-6y+35 | | 2x^2-2xy-3y^2-6=0 | | 24r^2-18r=0 | | 55x+5= | | 2x^2-2xy+3y^2=6 | | 8(2x+5)=0 | | 6r(4r-3)=0 | | (9x+8)(9x+8)=9 | | a^2-ab-72b^2=0 | | 4n^2-15n-4=0 | | 5v^2+13v=-6 | | 9-5z=24 | | 8c+3d-5(9c-7d)= | | -3p+3=21 | | 3y-7=-22 | | 2(8t^2-8t+1)(1-2t)+8t^2-8t+1+8t^2=0 | | (2x-1)(2x-1)=25 | | (5x-45)(x-9)=30 |

Equations solver categories