Question

i. If one zero of the quadratic polynomial 2 x^2-(3K +1)x is negative of the other, find the value of k​

Answer 1

• Let the zeros be d and ( - d ) •

$\tt\sf\dashrightarrow \: eq. = 2 {x}^{2} - (3k + 1)x - 9 \\ \\ \tt\sf\dashrightarrow \: sum \: of \: zeros \: = d - {}^{o} d = \frac{3x + 1}{2} \\ \\ \tt\sf\dashrightarrow \: o \: = 3k + 1 \: \\ \\ \tt\sf\dashrightarrow \: k = - \frac { 1}{3}$