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Question 79214: Can anyone give me any insight into this? I'm stuck! Any help would be deepley appreciated. 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. (When the discriminant is negative, then we have the square root of a negative number. This is called an imaginary number, sqrt(-1) = i. )
Explain what the value of the discriminant means to the graph of y = ax2 + bx + c. Hint: Chose values of a, b and c to create a particular discriminant. Then, graph the corresponding equation
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! The quadratic equation ax2+ bx + c = 0 has
two real roots when bē-4ac > 0, and the curve will cross the x axis twice.
one real root when bē-4ac = 0, and the curve is tangent to the x axis.
no real roots when bē-4ac < 0, and the curve will not cross the x axis at all.
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