Homework Help

What is the solution of the cubic equation 8x^3 + 12x^2 + 8x = 0

user profile pic

tonyah995 | Student, Undergraduate | (Level 1) Salutatorian

Posted September 19, 2013 at 6:55 PM via web

dislike 0 like

What is the solution of the cubic equation 8x^3 + 12x^2 + 8x = 0

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 19, 2013 at 7:00 PM (Answer #1)

dislike 0 like

The solution of `8x^3 + 12x^2 + 8x = 0` has to be determined.

`8x^3 + 12x^2 + 8x = 0`

= `4x(2x^2 + 3x + 2) = 0`

`4x = 0 => x = 0`

`2x^2 + 3x + 2 = 0`

=> `x = (-3 +-sqrt(9 - 16))/4`

=> `x = -3/4 +- i*sqrt7/4`

The solution of the cubic equation is `{0, -3/4 - i*sqrt7/4, -3/4 + i*sqrt7/4}`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes