# How do you find the zeros, real and imaginary, of #y=19x^2-4x-3 #using the quadratic formula?

##### 1 Answer

#### Answer:

#### Explanation:

The problem says to **use the quadratic formula**, so we will use that. The quadratic formula is

The equation is already in standard form, so we can simply substitute and simplify!

244 is not a perfect square, so we *could* stop here. However, notice that 244 is divisible by 4, which is a perfect square, so we can simplify

We can pull a 2 out of each term and simplify:

So our solutions are