Question

According to the graph, the equation x3-6x2 + 11x- 6 has how many real roots?

Answer 1

The equation has three real roots

Explanation:

we have

`x^(3)-6x^(2)+11x-6`

we know that

The roots are the values of x when the value of the function is equal to zero

using a graph tool

The roots are

`x=1,x=2,x=3`

see the attached figure

therefore

The equation has three real roots