-x^2+4x-11=0

Simple and best practice solution for -x^2+4x-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+4x-11=0 equation:


Simplifying
-1x2 + 4x + -11 = 0

Reorder the terms:
-11 + 4x + -1x2 = 0

Solving
-11 + 4x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
11 + -4x + x2 = 0

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -4x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + -4x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4x + x2 = 0 + -11
-4x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-4x + x2 = -11

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -11 + 4

Reorder the terms:
4 + -4x + x2 = -11 + 4

Combine like terms: -11 + 4 = -7
4 + -4x + x2 = -7

Factor a perfect square on the left side:
(x + -2)(x + -2) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 25x+45=55x+30 | | (2x)(x)=520 | | 9e^4x=8 | | 399-21x=75x+15 | | 7x^2+21x-22=6 | | (x)(2x)=520 | | 17(5x-2)= | | 3x^3+42x^2+147x=0 | | (k+1)(k-5)= | | 5x^2=x-2 | | 4x-(x-7)=9+3(x-4)-2x | | 3x+1(1+3)=11 | | 7d-4=-165 | | f(n)=3n+5 | | 1-x+(-x)= | | -5x+13-2x=41 | | n^2-14+48=8 | | 3r-7+4r=5r+23 | | x^2=2x^2-9 | | 4x^2-25=15x | | 0.02*x=0.05*y-10000 | | 100x=1500 | | 8x+15=5x-45 | | 4a^4-16a^2+16= | | -x^2+7x=1 | | 1.2-0.8=-6 | | 3x+12+2x=-18 | | -x^3-x^2-x-2=0 | | 3n^2-21n+30= | | -16c^2-16c-5=-5-17c^2 | | 2n^2-8n-42=0 | | 20=d/.5 |

Equations solver categories