Consider$$x^2-2kx+k+2=0.$$ Find the values of $k$ for which the equation has: two distinct real ro

Question

Consider$$x^2-2kx+k+2=0.$$ Find the values of $k$ for which the equation has: two distinct real roots; two equal real roots; no real roots.

Accepted Answer

(a) $k2$; (b) $k=-1,2$; (c) $-1<k<2$.

Quadratic Functions, Equations and Inequalities