Question

What are the solutions of the quadratic equation?
4x^2 + 34x + 60 = 0


6 , 2/3
-5/2 , -2/3
-6 , -5/2
-6 , 4

Answer 1

Well, the first step would be to simplify as much as possible before factoring.

If you divide both sides by 2, you get:

\[\large 2x^2 + 17x + 30 = 0\]

Answer 2

Then, you try to factor. We know for certain it will look like this:

\[\large (2x + ?)(x + ??) = 0\]
Can you fill in the blanks? Remember:

\[\large 2\cdot?? + 1\cdot ? = 17 \ \textrm{and} \\ \large ? \cdot ?? = 30\]