Question

I have to use the discriminate to determine the number of answers for the following equation, but my textbook never showed me how to find the discriminate for an equation like this. Could someone show me how to find the discriminate? 9x^2 + 6× = -1

Answer 1

9 x² + 6 x = - 1

Add 1 to both sides

9 x² + 6 x + 1 = - 1 + 1

9 x² + 6 x + 1 = 0

D = b² - 4 a c

In this case:

a = 9 , b = 6 , c = 1

D = b² - 4 a c

D = 6² - 4 ∙ 9 ∙ 1 = 36 - 36 = 0

Answer 2

So does that mean the discriminate would be 0? I looked back in my notebook and it seems that I did the problem and I got an answer of 36 by doing 6^2 - 4(0). Is that right?

Answer 3

6² - 4 ∙ 0 is 36 but that is not discriminate.

y = 9 x² + 6 x + 1

a = 9 , b = 6 , c = 1

D = b² - 4 a c = 6² - 4 ∙ 9 ∙ 1 = 36 - 36 = 0

Answer 4

Ohhh. So the discriminate would be zero. And since it's zero, that means that I would get the answer by doing ×= -b/2a
So ×= -6/2(9)= -1/3. Which means this problem only has one solution. Is this correct?

Answer 5

Yes.
This is correct.

Answer 6

discriminant.

It is used to discriminate