T
Tina
Guest
Hey guys, so I have a big midterm coming up and I need some help answering some questions. If you could show the full steps to solving the question, it would help very much with my understanding.
1. Let a < b < c be constant and define
f(x) = (x - a)(x - b) + (x - b)(x - c) + (x - c)(x - a)
Show that the equation f(x) = 0 has two distinct roots. (Hint: what are the signs of f(a), f(b), f(c)?)
Thanks guys.
1. Let a < b < c be constant and define
f(x) = (x - a)(x - b) + (x - b)(x - c) + (x - c)(x - a)
Show that the equation f(x) = 0 has two distinct roots. (Hint: what are the signs of f(a), f(b), f(c)?)
Thanks guys.