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Question 31502: 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 venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! 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
Y=X^2-5X+6=0
D=5^2-4*6=25-24=1
Y HAS POSITIVE AND NEGATIVE VALUES
, zero,
Y=X^2-4X+4=0
D=4^2-4*4=0
Y IS ALWAYS >=0
or negative
Y=X^2+4=0
D=0-4*4=-16
Y IS ALWAYS POSITIVE.(OR IT CAN BE ALWAYS NEGATIVE...AS IN CASE OF Y=-X^2)
. For each case, explain what this value means to the graph of y = ax2 + bx + c.
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