Homework Help

Use the quadratic formula to find the solution to the quadratic equation 2x^2-3x = 2

user profile pic

christiano-cr7 | (Level 1) Salutatorian

Posted August 8, 2013 at 5:10 AM via web

dislike 1 like

Use the quadratic formula to find the solution to the quadratic equation

2x^2-3x = 2

1 Answer | Add Yours

user profile pic

jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted August 8, 2013 at 5:30 AM (Answer #1)

dislike 0 like

The quadratic formulae for the solution of a quadratic function `ax^2+bx+c = 0` is given by;

`x = (-b+-sqrt(b^2-4xxaxxc))/(2a)`

`2x^2-3x = 2`

`2x^2-3x-2 = 0`

`a = 2`

`b = -3`

`c = -2`

`x = (3+-sqrt((-3)^2-4xx2xx(-2)))/(2xx2)`

`x = (3+sqrt((-3)^2-4xx2xx(-2)))/(2xx2) = 2`

`x = (3-sqrt((-3)^2-4xx2xx(-2)))/(2xx2) = -1/2`

So th answers are ` x = 2` and `x = -1/2`

Sources:

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes