# How do you solve #6x^2 - 7x + 2 = 0# using the quadratic formula?

##### 1 Answer

The two possible solutions are

#### Explanation:

I'll provide the quadratic formula so you can see what I'm doing as I step you through the process:

I think it's worthwhile to mention that

Now, we just plug our values into the equation like this:

For these type of problems, you will obtain two solutions because of the

Now, we subtract 1 from 7 and divide by 12:

Next, plug each value of x into the equation separately to see if your values give you 0. This will let you know if you performed the calculations correctly or not

Let's try the first value of

This value of x is correct since we got 0!

Now, let's see if the second value of

1.5 -3.5 +2 = 0#

That value of x is correct as well!

Thus, the two possible solutions are: