Question

Determine the number of solutions for the quadratic function f(x) = -x2 + 3x - 9.
Answer

No real solutions

1 solution (double root)

2 distinct real solutions

Answer 1

@abcabc Right here (:

Answer 2

@jennychan12

Answer 3

Dude, is that an exponent after the "x"? :-)

Answer 4

Yeah (: Think so

Answer 5

No real solutions

Answer 6

So the problem is:
-x^2 + 3x - 9

You gotta use the discriminant, which is that part under the square root of the quadratic formula: square root of (b^2 - 4ac)
In this equation, a = -1, b = 3, c = -9
So plug those in.
And then ask, what would the square root of that value be?
If the answer is "2 roots, a positive and negative answer", then the answer is two distinct real solutions.
If the value is a perfect square, then it's one distinct real solution.
And if you end up trying to get the square root of a negative value, the answer is 'no real solutions.'

In my mental math, I think the value is negative so there are no real solutions.

Hope that helps!

Answer 7

@abcabc agree?

Answer 8

You get imaginary numbers after you use the quadratic formula.

Answer 9

@abcabc very good explanation