SOLUTION: Please help with this problem: Find all zeros of f: f(x) = 3x^2 + 5x - 2 I believe you use the quadratic formula to solve or do I need to factor?

Click here to see ALL problems on Quadratic Equations

Question 110872: Please help with this problem:
Find all zeros of f: f(x) = 3x^2 + 5x - 2
I believe you use the quadratic formula to solve or do I need to factor?
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=3, b=5, and c=-2

Square 5 to get 25

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 3 to get 6

So now the expression breaks down into two parts

or

Lets look at the first part:

Add the terms in the numerator

Divide

So one answer is

Now lets look at the second part:

Subtract the terms in the numerator

Divide

So another answer is

So our solutions are:

or