Algebra 2 10/17/16 EQ: How do I use the discriminant to determine the number of solutions of a quadratic HW: pg. 361 # 14-16, 30-35, 54,61, 64 WU: Solve 4 0 −4

Discriminant b2 – 4ac If b2 – 4ac > 0 If b2 – 4ac = 0 If b2 – 4ac < 0 2 real solutions 1 real solution 2 imaginary solutions

What can you say about the discriminant?

Solving for the number of solutions Equation must = 0 3x2 – 10x + 4 = 0 x2 + 3x = 6 - 4x2 = 8x -2

You try it!

Create an equation with… 2 real solutions 1 real solution 2 imaginary solutions

Kevin thinking that he is mighty strong, thinks that he can throw a ball to the height of 100ft. After careful calculations, Kevin calculates that the ball will travel with the following equation h(t)= - 10t2+50t+6. Will the ball reach 100ft?

Another method?

When is it safe? John owns a bungie jump company called Splatter Face and he is trying to figure out how high he needs to put the base of his bungie jump station. The following equation models the path of the jumper h(t) = -16t2 – 32t + c How high does the base have to be in order for him not to have a splatter face customer?

How many times can I catch it? Edward needs to borrow a calculator from Alejandra in order to complete his homework. If she throws the calculator upwards, how many chances does he have to catch it? Make a list of things that you need to know

Information Edward 5.9 ft Initial velocity – 64ft/sec Gravity -16ft/sec2 3 floors up – each floor is 10 ft Thrown from 6 ft above the ground

Create a drawing and solve it