9x2+3x-5=0

Simple and best practice solution for 9x2+3x-5=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 9x2+3x-5=0 equation:



9x^2+3x-5=0
a = 9; b = 3; c = -5;
Δ = b2-4ac
Δ = 32-4·9·(-5)
Δ = 189
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:
$\sqrt{\Delta}=\sqrt{189}=\sqrt{9*21}=\sqrt{9}*\sqrt{21}=3\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3\sqrt{21}}{2*9}=\frac{-3-3\sqrt{21}}{18} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3\sqrt{21}}{2*9}=\frac{-3+3\sqrt{21}}{18} $

See similar equations:

| 3(7t+5)-2t=4 | | 0.3(5x-7)=3(0.2x-3.2) | | 4(3a)-11=7(2a-5) | | 1x4+4x3-3x2-10x+8=0 | | x4+4x3-3x2-10x+8=0 | | 8x+5=10+3x | | 10x+4=20+5x | | 12x+3=27+6x | | 12x+32=92 | | 3x-12=19x+4 | | -2(m+4)=36 | | 500x0.24=fx0.04 | | 12/2-2y=1/4 | | 7(-2x+4)=-2x | | 360=200+a+(2a-50) | | 12-6w+3(2w+3)=2w+5 | | x2-15x-11=0 | | 20x2-2x-8=0 | | 6x2+4x-14=0 | | 6x2+18x-1=0 | | 17x2+15x-14=0 | | 20x2+15x-10=0 | | 10x2+6x-13=0 | | 11x2+8x+15=0 | | 2x2-9x+18=0 | | 9x2-9x+11=0 | | 2x2-13x+2=0 | | 2x2-8x-8=0 | | 18x2+7x-17=0 | | 8x2-3x-6=0 | | 9x2-10x-20=0 | | 16x2-8x+19=0 |

Equations solver categories