On week 7 we learned a little about the discriminant, and the formula used is * – 4ac* . It helps determining how many solutions and real roots an equation has. The discriminant is pretty much the number you get under the square root in the quadratic formula.

If the answer to the equation is more than 0 there are 2 solutions, two distinctive real roots.

If the answer to the equation is equal to 0, then there is 1 solution (2 equal solutions), one real root.

If the answer to the equation is less than 0, there are no solutions, no real roots.

1.) 2 solutions

2.) 1 solution or 2 equal solutions

3.) no solutions