3y^2-y+1=0

Simple and best practice solution for 3y^2-y+1=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 3y^2-y+1=0 equation: 


Simplifying
3y2 + -1y + 1 = 0

Reorder the terms:
1 + -1y + 3y2 = 0

Solving
1 + -1y + 3y2 = 0

Solving for variable 'y'.

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

Divide each side by '3'.
0.3333333333 + -0.3333333333y + y2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.3333333333y + -0.3333333333 + y2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.3333333333y + y2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.3333333333y + y2 = 0 + -0.3333333333
-0.3333333333y + y2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.3333333333y + y2 = -0.3333333333

The y term is -0.3333333333y.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333y + 0.02777777779 + y2 = -0.3333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333y + y2 = -0.3333333333 + 0.02777777779

Combine like terms: -0.3333333333 + 0.02777777779 = -0.30555555551
0.02777777779 + -0.3333333333y + y2 = -0.30555555551

Factor a perfect square on the left side:
(y + -0.1666666667)(y + -0.1666666667) = -0.30555555551

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 2(w-8)-5(w+4)=7-3w | | -10x-5x-10x=20-5x | | 13x+2=3(2x+1)-x+8 | | -x+3+9x=-3+2x+36 | | 2x^2=4-9x | | -19y=-76 | | -10-5x-10x=20-5x | | 7x+2+x=1+4x+13 | | 12x-1y=104 | | 7x+2x=1+4x+13 | | -10-5-10x=20-5x | | -3x-6=9 | | 9y-15=10 | | 9y-5=10 | | -7x+9=-4x-6 | | x-28+3x+20=537 | | -6a^2+8c^2+2a^2+11c^2= | | -5x+4y=-30 | | 3y=-2+6y | | 3x-7y=18 | | 2x*8x= | | (9k)-3=(8*9)+k | | -7xa-2xa-2ax-7ax= | | 20x(3x-28)=537 | | -6ay+8dz-4ya+2dz= | | 3by+4b+6by= | | -sy+6ys= | | 3b-2b= | | 3c+6c= | | (7+4)(4+-6)[(-4)-(-4)]= | | (7+4)(4+-6)(-4-4)= | | Ln(3x-8)=5 |

Equations solver categories