200x-x2=9600

Simple and best practice solution for 200x-x2=9600 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 200x-x2=9600 equation:



200x-x2=9600
We move all terms to the left:
200x-x2-(9600)=0
We add all the numbers together, and all the variables
-1x^2+200x-9600=0
a = -1; b = 200; c = -9600;
Δ = b2-4ac
Δ = 2002-4·(-1)·(-9600)
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(200)-40}{2*-1}=\frac{-240}{-2} =+120 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(200)+40}{2*-1}=\frac{-160}{-2} =+80 $

See similar equations:

| 9x+28=9x+28 | | 7y+(y-7)=5(y+1)-3 | | 1/2(2x+10)+(5x+20)x80=3x+20x80 | | 2x2–13x+12=0 S= P= | | 2z/7-4=-3 | | -7(6x+9)=-42x-63 | | -3x-6x+18=18+2x | | -24x+-24=-24x+24 | | 3x/2=690 | | 2(0)-5y=13 | | 1/3(x-1)^2=12 | | 6n-9=12 | | 12n+6=24 | | 36x+26=180 | | -1+m=-132 | | y+4(-3)=11 | | -(8x+4)-(-7x-7)=2 | | |2x-6|=9 | | (z-9)+(z+9)=0 | | 1/2t+2/t=10 | | x+1/5*x+1/5=0 | | x+1/5*x=1/5=0 | | 4x-9=4x+4 | | x-1/5*x-1/5=0 | | 1/4x-(x+1/5)=1/20(x+5) | | (1/4)x-(x+(1/5))=(1/20)(x+5) | | 3^2x+1-26(3^x)=9 | | x*x-1/25=0 | | 4r+9/4r+14=5r3/4r+1-3 | | 0=-4.9t^2+55t | | 4=6-j | | 1/2k-2=1 |

Equations solver categories