Mister Exam

Other calculators

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

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

The teacher will be very surprised to see your correct solution 😉

v

Numerical solution:

Do search numerical solution at [, ]

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−x−6=0x^{2} - 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=−1b = -1
c=−6c = -6
, then
D = b^2 - 4 * a * c = 

(-1)^2 - 4 * (1) * (-6) = 25

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
05-15-10-51015-200200
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = -2
x1=−2x_{1} = -2 
x2 = 3
x2=3x_{2} = 3 
x2 = 3
Sum and product of roots [src] 
sum
-2 + 3
−2+3-2 + 3 
=
1
11 
product
-2*3
−6- 6 
=
-6
−6-6 
-6
Numerical answer [src] 
x1 = -2.0
x2 = 3.0
x2 = 3.0
The graph
(x-3)*(x+2)=0 equation
    © Mister Exam – Calculator