x^2=3x-11

Simple and best practice solution for x^2=3x-11 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=3x-11 equation:


Simplifying
x2 = 3x + -11

Reorder the terms:
x2 = -11 + 3x

Solving
x2 = -11 + 3x

Solving for variable 'x'.

Reorder the terms:
11 + -3x + x2 = -11 + 3x + 11 + -3x

Reorder the terms:
11 + -3x + x2 = -11 + 11 + 3x + -3x

Combine like terms: -11 + 11 = 0
11 + -3x + x2 = 0 + 3x + -3x
11 + -3x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -3x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + -3x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -3x + x2 = 0 + -11
-3x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-3x + x2 = -11

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -11 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -11 + 2.25

Combine like terms: -11 + 2.25 = -8.75
2.25 + -3x + x2 = -8.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| y=5*-3-3 | | X-1/5=1/2 | | 5(x-4)=18 | | x=63+3y | | y^2-4xy+12x=0 | | 10(8-x)=3x | | y=5*-4-3 | | 9(x-3)=12 | | -1+5x=6(-6x-7) | | 21=7(w-5) | | 5s^2+12s-416=0 | | -2500-4.05=-3000x | | 12x+9489=12 | | x^2+5xy+6y^2=3 | | -1/3(p | | 66=0.8x+72 | | -5(1+k)=-5 | | 3/8x=1/3 | | 9x=5(x-8) | | 27-v=247 | | Y-13.7=24.8 | | 10=-4x+30 | | -9=4w+7 | | 4x=9y+sY | | 1/21=28/x | | 2x-5(x-5)=-9+5x-22 | | 16b^4-81=0 | | 4y-30=-3(y+3) | | 1000/4=7/x | | 9x+8y=18 | | 4/6x1/3 | | 35=19+x |

Equations solver categories