Homework Help

Find all the roots of x^3-4x^2+5x-2=0

user profile pic

spock4 | Student, Undergraduate | Honors

Posted May 28, 2012 at 5:00 AM via web

dislike 2 like
Find all the roots of x^3-4x^2+5x-2=0

Tagged with math, roots

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 28, 2012 at 5:05 AM (Answer #1)

dislike 1 like

The equation x^3-4x^2+5x-2=0 has to be solved for x.

x^3-4x^2+5x-2=0

=> x^3 - 2x^2 - 2x^2 + 4x + x - 2 = 0

=> x^2(x - 2) - 2x(x - 2) + 1(x - 2) = 0

=> (x^2 - 2x + 1)(x - 2) = 0

=> (x - 1)^2*(x - 2) = 0

x = 1 and x = 2

The solution of x^3-4x^2+5x-2=0 is x = 1 and x = 2

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes