SOLUTION: a) solve 3x^2 - 5x - 11 = 0 b) find the x-intercepts of f(x) = 3x^2 - 5x - 11

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: a) solve 3x^2 - 5x - 11 = 0 b) find the x-intercepts of f(x) = 3x^2 - 5x - 11       Log On


   

Question 394749: a) solve 3x^2 - 5x - 11 = 0
b) find the x-intercepts of f(x) = 3x^2 - 5x - 11
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2+-+5x+-+11+=+0

The solutions for x will be the same as your x-intercepts.
We'll use the quadratic formula for this one
-b+%2B-+sqrt%28b%5E2-4ac%29%2F2a
In this equation, a=3, b=-5, c=-11
5+%2B-+sqrt%2825-4%283%29%28-11%29%29%2F6
5+%2B-+sqrt%2825%2B132%29%2F6
This is our answer (or rather answers)
5+%2B-+sqrt%28157%29%2F6
In decimal form, this would be somewhere around 2.921660681 and
-1.254994014

+graph%28+500%2C+500%2C+-10%2C+15%2C+-15%2C+15%2C+3x%5E2+-+5x+-+11%29+