The quadratic equation depends on the real parameter

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

Problem

The quadratic equation

x^{2}+2(m-1)x+(m^{2}-5m+6)=0

depends on the real parameter

m

. (i) Determine the value of

m

for which the equation possesses equal real roots. (ii) For this value of

m

, calculate the equal root.