2x^2-30x-1500=0

Simple and best practice solution for 2x^2-30x-1500=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 2x^2-30x-1500=0 equation:



2x^2-30x-1500=0
a = 2; b = -30; c = -1500;
Δ = b2-4ac
Δ = -302-4·2·(-1500)
Δ = 12900
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:
$\sqrt{\Delta}=\sqrt{12900}=\sqrt{100*129}=\sqrt{100}*\sqrt{129}=10\sqrt{129}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-10\sqrt{129}}{2*2}=\frac{30-10\sqrt{129}}{4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+10\sqrt{129}}{2*2}=\frac{30+10\sqrt{129}}{4} $

See similar equations:

| 4x^2–100=0 | | 4x²–100=0 | | 3.14xx=12 | | 4p+1p=24 | | x=360-8x | | 5t^2-6t=0 | | x2+-200x+6000=0 | | 3x/6+4=2x | | -6(3a+9)=-180 | | 108=4+8n | | 8x3+-32x=0 | | 3/7+x/3=11/14. | | 2/3+6y=0 | | (6x-9)-2(1-x)=x+9x | | -22=2=2(x-10) | | 6s-18+2s=15-3s | | a=19−11+(−17)+(−19)+11 | | -2q-73=55 | | x-12=2x-17 | | x+x+2x+4x=180 | | x+(x*0.28)=129114.77 | | 3x+8=-5+4 | | y^2-41y+348=0 | | 4x-32=2x-20 | | 4x-45=x-21 | | 3x+16°+45°+68°=180 | | 4m+15=5m-8 | | -5n+8=-4-2n | | 8x–3=5x–87 | | 5(2x-4)=61 | | 0.4xX=1 | | 3k-117=5-T |

Equations solver categories