Mister Exam

Other calculators

1*(x-1)*(x-3)=0

1*(x-1)*(x-3)=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 - 1)*(x - 3) = 0
(x−3)(x−1)=0\left(x - 3\right) \left(x - 1\right) = 0
Simplify
Detail solution
Expand the expression in the equation
(x−3)(x−1)=0\left(x - 3\right) \left(x - 1\right) = 0
We get the quadratic equation
x2−4x+3=0x^{2} - 4 x + 3 = 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=−4b = -4
c=3c = 3
, then
D = b^2 - 4 * a * c = 

(-4)^2 - 4 * (1) * (3) = 4

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=1x_{2} = 1
The graph
05-10-51015200-100
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = 1
x1=1x_{1} = 1 
x2 = 3
x2=3x_{2} = 3 
x2 = 3
Sum and product of roots [src] 
sum
1 + 3
1+31 + 3 
=
4
44 
product
3
33 
=
3
33 
3
Numerical answer [src] 
x1 = 1.0
x2 = 3.0
x2 = 3.0
The graph
1*(x-1)*(x-3)=0 equation
    © Mister Exam – Calculator