6x2+9x-6=0

Simple and best practice solution for 6x2+9x-6=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 6x2+9x-6=0 equation: 



6x^2+9x-6=0

a = 6; b = 9; c = -6;
Δ = b2-4ac
Δ = 92-4·6·(-6)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-15}{2*6}=\frac{-24}{12}
=-2
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+15}{2*6}=\frac{6}{12}
=1/2
$

See similar equations:

| 7/10z=4/9 | | 3x+11=x-6 | | 5x2-13x-28=0 | | 3(2x-1)-2(x-4=19 | | 5=75/t | | x+608=340 | | 68+2x=6x+44 | | 2f-4f+7f=5f | | -13n=-5n-88 | | 40+100=x | | x/20=17 | | 12x-6=15x+5+10 | | -13x+20=4x-14 | | 12k+6k-12k=4k-14 | | 200000+0.2x=x | | 6xx8x=0 | | 2b2+5b+3=0 | | 1/2p+1/2p=32 | | 7x2+27x-40=0 | | 2-3y+1/2=4 | | 5x-60=3+40 | | X2+45x=-200 | | n2+2n-35=0 | | 2(4w-7)=98 | | 6/7=p/24 | | 36=2.5x+1.5(4) | | 2x-3+1/2=4 | | 2(x=3)=38 | | 2x-3x-4x+7x=5x-9 | | -7-x/7=-49 | | 2x+3-3=-4-3 | | 1/3x-6=-9+2/3x |

Equations solver categories