Solution of quadratic equations, Relation between roots and coefficients (only real roots to be considered). Practical problem on quadratic equations.
Find the values of k ε R subject to the following condition :
The sum of the roots of $3x^2 + kx - 2 = 0$ is 6.
Here, the sum of the roots is $α + β = (-k)/3 $
.`. $(-k)/3 = 6$.
.`. $k = - 18.$