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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19-03-2018
Mathematics

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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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jcherry99 jcherry99 · Answer 1 · 2018-03-19T13:45:48+01:00

jcherry99 jcherry99

19-03-2018

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).

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