This week of math we learned about discrinants and In the quadratic equation, the discriminant tells us the number of real solutions. We can find the discriminant by plugging in the correct numbers of the quadratic equation into the radicand of the quadratic formula.

quadratic formula:

radicand of the formula:  – 4ac

discriminant is a positive number(+#): 2 solutions

discriminant is 0: 1 solution

discriminant is a negative number(-#): 0 solutions/ unreal

steps:

1) verify that the equation equals to 0

2) identify a, b, and c

3) take the correct formula of the radicand and plug in the numbers

example:

+ 8 + 7

a:1, b: 8, c: 7

– 4ac

– 4(1)(7)

64- 4(7)

64- 28

+38= 2 real solutions