12x^2-24x-8=0

Simple and best practice solution for 12x^2-24x-8=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 12x^2-24x-8=0 equation:



12x^2-24x-8=0
a = 12; b = -24; c = -8;
Δ = b2-4ac
Δ = -242-4·12·(-8)
Δ = 960
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{960}=\sqrt{64*15}=\sqrt{64}*\sqrt{15}=8\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-8\sqrt{15}}{2*12}=\frac{24-8\sqrt{15}}{24} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+8\sqrt{15}}{2*12}=\frac{24+8\sqrt{15}}{24} $

See similar equations:

| x/(-5)=-21 | | -0.5n=-0.73 | | -2(a+8)=-28 | | 1.7=2.2b-6.1 | | 3x-2(6x+5)+2=0 | | x2−11=110 | | -4.1=3.4+w/3 | | (7x-2)^2=4(7x-2) | | h=-16(4)^2=160(4)+160 | | 5s+33=173 | | 3y+y+3y+y=40 | | 5w^2=-w | | 6s+36=192 | | k/5-9=-7 | | 4y-5=7-2y+5 | | 10n^2+9n+2=0 | | 3-4x-3x=30 | | 1=4/7(5)+b | | 7(y-5)=4y-44 | | 6.25÷2.5+x×0.5=13.45 | | 1/5v-8=10 | | 3(b+3)=-18 | | 8h-21=36 | | 1/3d+7=-8 | | 34-g=-79 | | 30=u/3+9 | | v/5+12=16 | | 5-12y=-55 | | -2y=7=7 | | 3-240a=5 | | 5=6q+11 | | 4-3c=19 |

Equations solver categories