3a2+9a-54=0

Simple and best practice solution for 3a2+9a-54=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 3a2+9a-54=0 equation: 



3a^2+9a-54=0

a = 3; b = 9; c = -54;
Δ = b2-4ac
Δ = 92-4·3·(-54)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$


$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-27}{2*3}=\frac{-36}{6}
=-6
$


$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+27}{2*3}=\frac{18}{6}
=3
$

See similar equations:

| -9=9(x+10) | | -4x+12-3x=65 | | 6x+4=600 | | 2a-8=-a-2 | | 80=8(r+5) | | 5x+150=35 | | x-5.17=2.6 | | 33(2^x)=3^2x-1 | | -5x+1=22 | | -2+-16x=6x-24 | | -8-9a=89 | | 6x+12+3x+73=180 | | y-2.3=4.63 | | 23•2x=27 | | -1=-4m=-16 | | 3(5n-7)=8 | | 4n+2+3n=4n+11+6 | | k-1=2+2k | | 12.5=1/2(2x) | | 180=0,3x+0,3x | | 2p+4=p-2 | | 6m-30=2m-8+6m | | 5x-5x=6x-5x-8 | | 7x+5-8x=11 | | 3√x-6=12 | | 2-3n=8-n | | 7/10x=3/20 | | ,-7=b/5-10 | | 65+4y=54 | | 7-6k=1-8k | | 8(b-5)-3=-3(-2b+5) | | 69+x+2x=180 |

Equations solver categories