x^2-11x-5=0

Simple and best practice solution for x^2-11x-5=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-5=0 equation:


Simplifying
x2 + -11x + -5 = 0

Reorder the terms:
-5 + -11x + x2 = 0

Solving
-5 + -11x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + -11x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + -11x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -11x + x2 = 0 + 5
-11x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
-11x + x2 = 5

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 = 5 + 30.25

Reorder the terms:
30.25 + -11x + x2 = 5 + 30.25

Combine like terms: 5 + 30.25 = 35.25
30.25 + -11x + x2 = 35.25

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = 35.25

Calculate the square root of the right side: 5.937171044

Break this problem into two subproblems by setting 
(x + -5.5) equal to 5.937171044 and -5.937171044.

Subproblem 1

x + -5.5 = 5.937171044 Simplifying x + -5.5 = 5.937171044 Reorder the terms: -5.5 + x = 5.937171044 Solving -5.5 + x = 5.937171044 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 = 5.937171044 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + x = 5.937171044 + 5.5 x = 5.937171044 + 5.5 Combine like terms: 5.937171044 + 5.5 = 11.437171044 x = 11.437171044 Simplifying x = 11.437171044

Subproblem 2

x + -5.5 = -5.937171044 Simplifying x + -5.5 = -5.937171044 Reorder the terms: -5.5 + x = -5.937171044 Solving -5.5 + x = -5.937171044 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 = -5.937171044 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + x = -5.937171044 + 5.5 x = -5.937171044 + 5.5 Combine like terms: -5.937171044 + 5.5 = -0.437171044 x = -0.437171044 Simplifying x = -0.437171044

Solution

The solution to the problem is based on the solutions from the subproblems. x = {11.437171044, -0.437171044}

See similar equations:

| 22x^2-13x+1= | | -5m^2=-125 | | 8x^2=12x+8 | | 4x^2-44x-20=0 | | 3n^2+24n+2n+16=0 | | 5x^2-3x-8= | | 6x^2-6=12 | | 9x^2-30x+25= | | 4x^2-19x+12= | | 81x^2=9 | | 5y-8-13y=12y+6 | | 4n^2-3n-16n+12=0 | | 3a(-5)=18 | | 8x^2+15x-3= | | 46x=443 | | 8x^2-34x+24=-11 | | (2y+5)(4y+13)=0 | | 3x^2-5x-18x+30=0 | | 7x^2+18x-9= | | z^2+24-11z=0 | | 7x^2+8=15 | | 13+2x=19-x | | 13x^2+6x-7= | | 5m+2=5m+2 | | 12x+8=8x+16 | | 3x^2+32x-11= | | 4x+8y=-4 | | 2x^2-10=-4 | | 3x-18=10-4x | | x^2=13x | | 16x^2-6x-1= | | 5a^2+10a-6a-12=0 |

Equations solver categories