Question

Kx^2+x+9K=0

i) Evaluate the discriminant for this quadratic equation

ii) What does it mean when we say the quadratic equation has one repeated solution?

iii) How does the discriminant enable us to tell wether our quadratic equation has one repeated solution?

iv) Show all necessary work to find the value(s) of K that will cause this equation to have one repeated solution.

v) Replace K with the value(s) you found in part iv and write the quadratic equations that has/have one repeated solution.

Answer 1

This means the given equation will have repeated roots in both the case, when k=-1/6 and also when k=1/6.