SOLUTION: Help me I'm lost PLEASE Thanks!!!!!!! When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can b

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Help me I'm lost PLEASE Thanks!!!!!!! When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can b      Log On


   

Question 42341This question is from textbook college algebra gary rockswold
: Help me I'm lost PLEASE Thanks!!!!!!!

When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative.
Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx + c.
This question is from textbook college algebra gary rockswold

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Positive Discriminant:
y+=+x%5E2+-+2x
a=1 b=-2 c=0
(4 - 0) = 4
Has two real solutions.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+x%5E2+-+2x%29+
Zero Discriminant:
y+=+2x%5E2+-+4x+%2B+2
a=2 b=-4 c=2
(16 - 16) = 0
Has one real solution.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+2x%5E2+-+4x+%2B+2%29+
Negative Discriminant:
y+=+-x%5E2+-+2x+-+2
a=-1 b=-2 c=-2
(4 - 8) = -4
Has two complex solutions.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+-x%5E2+-+2x+-+2%29+