Question

I have a question about using the discriminant to find number of REAL solutions.
-x^2+7x-2=0
I got 41 which would be no real solutions correct?

Answer 1

It has real solutions.
Lets say discriminant is D,
When D>0, there are more than 1 real solutions
when D = 0, there is only 1 solution
when D<0, there is no real solution.
in this case the discriminant would be (49-4*(-1)(-2))
which is 41. It is positive and above 0. There fore it will have 2 real solutions
which are
x = 6.70156 or 0.29843

Answer 2

Ah, I should have known that. Thank you so much!

Answer 3

Youre welcome! :)