Question

Use the x-intercept method to find all real solutions of the equation.x^3-10x^2+27x-18=0

Answer 1

Explanation:

Real solutions equal

x=6,3,1

Hope that helps!

Answer 2

`x=1,x=3,x=6`

EXPLANATION

To solve an equation using the x-intercept method, we must graph the corresponding function and locate x-values of the x-intercepts.

The given polynomial equation is

`{x}^(3) - 10 {x}^(2) + 27x - 18 = 0`

The graph of the corresponding function

`y = {x}^(3) - 10 {x}^(2) + 27x - 18`

Is shown in the attachment.

The x-intercepts are:(1,0), (3,0), (6,0)

Therefore the solutions are,

`x=1,x=3,x=6`