6z^2-3z-1=0

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



6z^2-3z-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:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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


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

See similar equations:

| 72+x=5x | | 72+x/x=5 | | x+8+7x-16=4x | | 12s-72=4s+8 | | -6+x/10=-5 | | 10x-69=8x-49 | | 21x+24=36x-6 | | 8-4=2x+24 | | (3x+1)^5=32 | | 2s+96+5s-35=180 | | 5y+y+3=19-2 | | 22+7x/41=-1 | | 5y+18+3y+48=360 | | 5x^2-17=73 | | 4-2k+6=0 | | 3x+24-x-7=23 | | -2=y/3+8 | | d=52d^2# | | -6x+12=-48 | | (0.71x)+x=30 | | 0.71x+x=30 | | 12−2j+7=−12 | | 10*x=10.5 | | 1/2=q+4/6 | | 6+j=10 | | 8r-23=16 | | 12=6+j | | 8=u+5 | | 7a+8=12+38 | | j+3=6 | | 3x-5=-x-1 | | 6p+5p=88-22 |

Equations solver categories