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.
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-> 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.
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Question 71930: 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.
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, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx + c.
X^2-5X+6=0
D=-5^2-4*1*6=25-24=1......+VE
THE GRAPH WILL CUT THE X AXIS AT 2 DIFFERENT POINTS.
X^2-4X+4=0
D=-4^2-4*1*4=0
THE GRAPH WILL CUT THE X AXIS AT ONLY ONE POINT.
X^2-4X+6=0
D=-4^2-4*1*6=-8...........-VE.
THE GRAPH WILL NOT CUT THE X AXIS
