The quadratic is required to have two distinct real roots

MATHEMATICS · Subjective · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

The quadratic

(k+1)x^2 + 2(k-3)x + 4 = 0

is required to have two distinct real roots, and the coefficient of

x^2

must be positive. Determine the set of all real values of

k

that satisfy these conditions.