what are the real solutions of

750=x^3-15x^2+50x

1 answer

A theorem call the "rational root" or "p/q" theorem will tell you that, if there is a real root, it must be p/q, where p and q are even divisors of the constant term (750) and highest-order term (1).

http://en.wikipedia.org/wiki/Rational_root_theorem

Using this, you will find that 15 is one root and the other factor (besides x-15) is x^2 + 50.

x^2 + 50 = 0 has no real roots.

Therefore there is only one solution.