SOLUTION: Solve by using the quadratic formula. The solution set is { , } or is solution set 0? {{{ 3p^2=-13p-12 }}}

Question 290119: Solve by using the quadratic formula.
The solution set is { , } or is solution set 0?

Answer by Deina(147) (Show Source): You can put this solution on YOUR website!
First let's convert to a quadratic,
in the form of so:
becomes:

Now plug those numbers into the quadratic formula,
replacing a b & c as above:

a = 3
b = 13
c = 12
Replacing "x" with "p" Becomes

Replacing "a" with "3" becomes

Replacing "b" with "13" becomes

Replacing "c" with "12" becomes

Mr. Ichudov's Quadratic Solver explains the remaining process better than I:

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=25 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -1.33333333333333, -3. Here's your graph:

So your solutions are: p=-1.33333333333333 and p=-3. and bob's your uncle!
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