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(x-3)*(x-2)=0

(x-3)*(x-2)=0 equation

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Numerical solution:

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The solution

You have entered [src] 
(x - 3)*(x - 2) = 0
(x−3)(x−2)=0\left(x - 3\right) \left(x - 2\right) = 0
Simplify
Detail solution
Expand the expression in the equation
(x−3)(x−2)=0\left(x - 3\right) \left(x - 2\right) = 0
We get the quadratic equation
x2−5x+6=0x^{2} - 5 x + 6 = 0
This equation is of the form
a*x^2 + b*x + c = 0

A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
x1=D−b2ax_{1} = \frac{\sqrt{D} - b}{2 a}
x2=−D−b2ax_{2} = \frac{- \sqrt{D} - b}{2 a}
where D = b^2 - 4*a*c - it is the discriminant.
Because
a=1a = 1
b=−5b = -5
c=6c = 6
, then
D = b^2 - 4 * a * c = 

(-5)^2 - 4 * (1) * (6) = 1

Because D > 0, then the equation has two roots.
x1 = (-b + sqrt(D)) / (2*a)

x2 = (-b - sqrt(D)) / (2*a)

or
x1=3x_{1} = 3
x2=2x_{2} = 2
The graph
-10.0-7.5-5.0-2.50.02.55.07.510.012.515.017.5200-100
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
2 + 3
2+32 + 3 
=
5
55 
product
2*3
2⋅32 \cdot 3 
=
6
66 
6
Rapid solution [src] 
x1 = 2
x1=2x_{1} = 2 
x2 = 3
x2=3x_{2} = 3 
x2 = 3
Numerical answer [src] 
x1 = 3.0
x2 = 2.0
x2 = 2.0
The graph
(x-3)*(x-2)=0 equation
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