If $a,b,c,p,q,r$ are non-zero real numbers, such that $a

Question

If $a,b,c,p,q,r$ are non-zero real numbers, such that $a < b < c$ and $f(x) = (x - a)(x - b)(x - c) - p^{2}(x - a) - q^{2}(x - b) - r^{2}(x - c)$, then $f(x) = 0$ must have

Accepted Answer

$f(a) = - q^{2}(a - b) - r^{2}(a - c) > 0$$$f(c) = - p^{2}(c - a) - q^{2}(c - b) < 0 $$$f(x) = 0$ has 3 distinct real roots.

Question

Options

Solution

More Quadratic Equation Questions