6y^2-3y-1=0

Simple and best practice solution for 6y^2-3y-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 6y^2-3y-1=0 equation: 



6y^2-3y-1=0

a = 6; b = -3; c = -1;
Δ = b2-4ac
Δ = -32-4·6·(-1)
Δ = 33
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{33}}{2*6}=\frac{3-\sqrt{33}}{12}
$


$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{33}}{2*6}=\frac{3+\sqrt{33}}{12}
$

See similar equations:

| 0.7m-2.4=6.6 | | n^2-3n-24=6 | | -8r=7−9r | | 5h+13h=20-2= | | 4/3n+2=4/1n+1 | | 5/6=d-1/3 | | 5.25b=105 | | N2-3n-24=0 | | 63x+81=0 | | 5r+2=23 | | X+3y=480000 | | 5a+39=9-a | | 10u=3u+49 | | N^2-3n-24=0 | | 5(5+2x)=135 | | 2x+7+5x-44=180 | | x/5-2/4=7 | | 2(x/2)=-8 | | 55+2x=135 | | (x/3)-2x=45 | | 20=-2+v | | 5x/6x+2/3=-9 | | 26w=24 | | 2m+1)=16 | | 5^x=12 | | 21x/x=21 | | 112=36x | | 10+x+5x=82 | | 3(7z+4)=-23 | | (3y-2)^2=20 | | c+28=113 | | 1/x+2+1/x-6=12 |

Equations solver categories