SOLUTION: 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

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Question 31920: 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.
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
1) x%5E2-6x+5=0
discrimant;
%28-6%29%5E2-4(1)(5)
36-20=16
The graph will have two solutions because the answer is positive.
2) 4y%5E2-12y+9=0
%28-12%29%5E2-4(4)(9)
144-144=0
The graph will have one solution because the answer is 0.
3)3p%5E2-p+2=0
%28-1%29%5E2-4(3)(2)
1-24=-23
The graph will have no solutions because the answer is negative.
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