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AP Math

This problem has 2 parts. I have answered the first part but need help in the second...

  1. Find the discriminate of y=x^2 -6x-9

Answer: 72

2. What does this tell you about y=x^2 -6x-9

Verified Answer :

LammettHash

The discriminant for a quadratic polynomial gives you information about the polynomial's roots.

Given \(y=ax^2+bx+c\), the discriminant is given by \(\Delta=b^2-4ac\).

There are three possible conclusions you can draw. If \(\Delta>0\), then the quadratic has two distinct real roots. If \(\Delta=0\), then there is one repeated real root. If \(\Delta<0\), then there are two complex (non-real) roots.

Since you found \(\Delta=72>0\), that means that \(y\) has two distinct real roots.

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