Question

Find the number of solutions using the quadratic formula; b^2 - 4ac.

5x^2 - 4x = -6

Answer 1

First, you need to add 6 to both sides.

5x^2 - 4x +6 = 0

Answer 2

In this equation a=5, b= -4, and c=6.

Do you understand where I got those numbers?

Answer 3

yesss

Answer 4

but where do you add the 6 on both sides?

Answer 5

5x^2 - 4x = -6
__________+6 __+6
5x^2 - 4x +6 = 0

In order to use the quadratic formula, one side of the equation has to be zero, so we add 6 to both sides of the equation to "move" it to the left side.

Answer 6

Now that you have a, b, and c, you can plug them into the equation.
If number you get is positive, there are 2 solutions, if it's negative, there aren't any real number solutions (I don't think you're working with imaginary numbers right now), and if the answer you get is 0, then there is one solution.

Answer 7

okay thank you! :)

Answer 8

b^2 - 4ac is know as the discriminant