For what values of do the two conditions below hold simultaneously for the quadratic…

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

For what values of

m

do the two conditions below hold simultaneously for the quadratic equation

x^{2}+mx+(m-3)=0

? (i) The equation has real roots. (ii) The two roots differ by less than

5