bruno102
  • bruno102
Determine the number of solutions for the quadratic function f(x) = -x2 + 3x - 9.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Luigi0210
  • Luigi0210
How would you like to solve this?
bruno102
  • bruno102
I don't know...whatever is the best way. By the way the choices are A. No real solutions B. 1 solution (double root) C. 2 distinct real routes
Luigi0210
  • Luigi0210
Well we should find the discriminant first: \[b^2-4ac\]

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More answers

bruno102
  • bruno102
What is the standard formula?
Luigi0210
  • Luigi0210
\[\frac{-b \pm \sqrt{b^2-ac}}{2a}\]
Luigi0210
  • Luigi0210
*4ac
bruno102
  • bruno102
I am so confused
Luigi0210
  • Luigi0210
The one posted above is used to solve for solutions, but the discriminant is used to determine the number of solutions
bruno102
  • bruno102
So how do I do it?
bruno102
  • bruno102
I meant for example where is a b c in the equation I gave like the standard form.
Luigi0210
  • Luigi0210
|dw:1377637575714:dw|
Luigi0210
  • Luigi0210
Each variable has a value.
bruno102
  • bruno102
I don't understand.
Luigi0210
  • Luigi0210
|dw:1377637896552:dw| I think you had it right before you deleted your response..
bruno102
  • bruno102
so, 9-144? Or not.
Luigi0210
  • Luigi0210
Uh, close. What's -4(-1)(-9)
bruno102
  • bruno102
9(144)?
Luigi0210
  • Luigi0210
No..
bruno102
  • bruno102
Than what?
Luigi0210
  • Luigi0210
It's -36..
bruno102
  • bruno102
How did you get that? Sorry I am being difficult.
Luigi0210
  • Luigi0210
Because 4*9=36 and 36*1=36
bruno102
  • bruno102
But what about the first 9?
Luigi0210
  • Luigi0210
You just subtract afterwards, so what's 9-36?
bruno102
  • bruno102
-27
Luigi0210
  • Luigi0210
Yup, so guess what that means?
bruno102
  • bruno102
@Luigi0210 what?
Luigi0210
  • Luigi0210
A negative discriminant means that there are no real solutions.
bruno102
  • bruno102
Ohhhh! I get it! Thank you so much! I am sorry for being so difficult!
Luigi0210
  • Luigi0210
If you have a perfect square/positive root then that means you will have two real solutions. And if you get a 0 then there is just one solution. Just a heads up And no problem :)
bruno102
  • bruno102
I will be sure to remember that :) When it comes to math I have trouble retaining formulas.
Luigi0210
  • Luigi0210
It's alright, in math, practice makes perfect.

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