SOLUTION: Solve the equation: 3x^2 + 15x + 18 = 0

Question 96252: Solve the equation:
3x^2 + 15x + 18 = 0
Found 2 solutions by jim_thompson5910, prabhjyot:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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=15, and c=18

Square 15 to get 225

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

Notice when we graph , we get:

and we can see that the roots are and . This verifies our answer
Answer by prabhjyot(165) (Show Source): You can put this solution on YOUR website!

Compare the above equation with standard quadratic equation
we get
a = 3
b = 15
c = 18

Discriminant:
Discriminant (9) is greater than zero. The equation has two solutions.

or

or

Equation factored:

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