In quadratic functions, what does it tell you about the graph when the discriminant equals zero?

0 ⤊

In quadratic functions, what does it tell you about the graph when the discriminant equals zero?

2007-10-02 09:41:02 · 3 answers · asked by Autsy 1 in Science & Mathematics ➔ Mathematics

3 answers

It means you have a double root.

For the function f(x) = ax² + bx + c = 0

the discriminant is b² - 4ac.

Setting f(x) = 0 and solving for x we have:

x = [-b ± √(b² - 4ac)] / (2a)

Clearly, if the disriminant equals zero, the two solutions for x are the same. This means you have a double root.

2007-10-02 09:50:33 · answer #1 · answered by Northstar 7 · 0⤊ 0⤋

that it equals zero.

2007-10-02 16:43:34 · answer #2 · answered by Brad 2000. 2 · 0⤊ 1⤋

ask your teacher!

2007-10-02 16:43:26 · answer #3 · answered by MrNeutral 6 · 0⤊ 1⤋