3x^2-5x+11=0

Simple and best practice solution for 3x^2-5x+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 3x^2-5x+11=0 equation: 


Simplifying
3x2 + -5x + 11 = 0

Reorder the terms:
11 + -5x + 3x2 = 0

Solving
11 + -5x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
3.666666667 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + -1.666666667x + -3.666666667 + x2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + -1.666666667x + x2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + -1.666666667x + x2 = 0 + -3.666666667
-1.666666667x + x2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
-1.666666667x + x2 = -3.666666667

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -3.666666667 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -3.666666667 + 0.6944444447

Combine like terms: -3.666666667 + 0.6944444447 = -2.9722222223
0.6944444447 + -1.666666667x + x2 = -2.9722222223

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -2.9722222223

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 123-45-67+89=100 | | x^2-3x-124=0 | | 10-0.1x=100x | | 123-45-67+89= | | (15+5i)+(-10-9i)= | | -2-7k=3+14k | | 2x-50=10 | | 6(5s+7)=8(5s-1) | | log(x-1)+log(x-1)=0 | | 0,1(x+1)-0,05(3x-10)=0,9-0,35x | | 50x-4=1000 | | -12=4k+12 | | -17x-11=-113 | | (8+y)(5y-9)=0 | | 10g+2=72 | | (8+5i)+(4-3i)= | | 2(x+6)+2x+5=23 | | 5r+6= | | 12a+2=26 | | -17x-11=113 | | 1.0,3x+0,6=2,6+0,6x-0,6 | | 5(x+3)-2=16-3x-3+8x | | x-y+y=36+y | | y^2+9y-10=0 | | Sin(73)=x | | 4x+6y=180solvey | | 0.013=w(1-0.59w) | | 16x=-8+10x | | 3x^2-3y^2-51=0 | | 3.4x-8.5=22.1 | | 78=13x+2(x-6) | | -(-2+1.1z)=9-7.1z |

Equations solver categories