x2-3x-2=0

Simple and best practice solution for x2-3x-2=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 x2-3x-2=0 equation:



x2-3x-2=0
We add all the numbers together, and all the variables
x^2-3x-2=0
a = 1; b = -3; c = -2;
Δ = b2-4ac
Δ = -32-4·1·(-2)
Δ = 17
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{17}}{2*1}=\frac{3-\sqrt{17}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{17}}{2*1}=\frac{3+\sqrt{17}}{2} $

See similar equations:

| 2/3x-1/2x=-5 | | X+0.2x=1080000 | | 4x2+16x+12=0 | | 3x-9+4x=11+5x | | 208=1.8x-491.67 | | x/3+5=7+x | | 2x2+4x=6 | | 4x^2+6=16 | | 11x-38+2=11(x+1/6) | | 6/m+11=2/6 | | 4(x+3)=2(2x-2) | | 4/z+3/(2*z)=1/3 | | 4—x=1+4x | | 51/6=4/n | | 9/8(4-1/2a)=3(1/4a+5/2) | | |4x−7|=−1 | | 200m-100m+48,500=51,250-150m | | 6x=4x^-1+5 | | 2(x+4)=4x+3-2xx+5 | | 3x+9=10x-68 | | 1/3/x=14/30 | | 100m-200m+48,500=51,250-150m | | x=30/10 | | X^2+2x+38=1 | | 10x+17-(x-9)/2=3x+1 | | 6x=5+4x^-1 | | 6x=5+4x- | | 4x+4=2x10 | | 83/6=4/n | | 678j-5.2=433j+215 | | 2^(t/20)=3 | | -y=2y+219 |

Equations solver categories