9x^2-27x-18=0

Simple and best practice solution for 9x^2-27x-18=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 9x^2-27x-18=0 equation:



9x^2-27x-18=0
a = 9; b = -27; c = -18;
Δ = b2-4ac
Δ = -272-4·9·(-18)
Δ = 1377
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:
$\sqrt{\Delta}=\sqrt{1377}=\sqrt{81*17}=\sqrt{81}*\sqrt{17}=9\sqrt{17}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-9\sqrt{17}}{2*9}=\frac{27-9\sqrt{17}}{18} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+9\sqrt{17}}{2*9}=\frac{27+9\sqrt{17}}{18} $

See similar equations:

| 10x+1-2x=25 | | 154-2x=2x+122 | | 129-v=185 | | 1.5*0.8=x | | G(100)=(4x-5) | | 7x+3-4=36 | | 5x-2+3=6 | | 6x+4x-4=36 | | 20+(0.50m)=30+(0.25m) | | 8=3x(7) | | 180=8x+11+7x-41 | | 6+x/3=12 | | 180=15x-8+128-3x | | 180=15x-8+128-3 | | 3/4*p-8=12 | | 9-6x-4x=21 | | 42=11w=5w | | 245+310t=2105 | | 200m-100m+57.900=60.900-200m | | 6x-12=2x-24 | | 2+8a=100 | | -2(8x-4)+3x=5(x+1) | | 6u-9=-3(u-9) | | 8(x-8)-2x=-28 | | 2.45*1.2=b | | 2x-11+9x+6.75=180 | | -4(18-3x)=112 | | -3-5=y | | 8(6+4x1=176 | | 90/n=18 | | 7x-3=84 | | 3(4w+5=1 |

Equations solver categories