What must be true of the discriminant the soulution to a quadratic equation is a set of 2 different real numbers?

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Velez

Mathematics

1 February, 18:55

What must be true of the discriminant the soulution to a quadratic equation is a set of 2 different real numbers?

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Layne Roy · Answer 1

1 The quadratic crosses the x axis in 2 different places

2 The quadratic has 2 different solutions.

3 The x value of the minimum or maximum is 1/2 way between these 2 solutions.

4 The y value of the minimum or maximum is found by substituting the x value into the original quadratic. (You can't really tell this from the discriminate, but it is an inferred property).