SOLUTION: Solve 2x^2 + 12x – 3 = 0. What steps did you use to solve this quadratic equation?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve 2x^2 + 12x – 3 = 0. What steps did you use to solve this quadratic equation?      Log On


   

Question 1073083: Solve 2x^2 + 12x – 3 = 0. What steps did you use to solve this quadratic equation?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Not factorable. Two choices are general solution formula for quadratic equation, or Complete the Square and solve that way.

Discriminant is 12%5E2-4%2A2%2A%28-3%29=144%2B24=168.

x=%28-12%2B-+sqrt%28168%29%29%2F4

x=%28-12%2B-+2sqrt%2842%29%29%2F%282%2A2%29

highlight%28x=-3%2B-+%281%2F2%29sqrt%2842%29%29

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Apply the quadratic formula.

On quadratic formula, see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Quadratic equations".