Question

find k in the given polynomial 14x*2+5kx+6 if sum of the roots is equal to -7​

Answer 1

Step-by-step explanation:

here is your answer happy to help

Answer 2

Answer:

Given, the polynomial

$\sf \: 14 {x}^{2} + 5kx + 6 \\ \sf \: whose \: sum \: of \: roots \: \alpha + \beta = - 7 \\ \\ \bf \: according \: to \: the \: question \: \\ \: \: \sf \: \: \: \alpha + \beta = - \frac{5k}{14} \\ \sf \implies \: - 7 = - \frac{5k}{14} \\ \sf \implies \: 7 = \frac{5k}{14} \\ \sf \implies \: 5k = 7 \times 14 \\ \sf \implies \: k = \frac{7 \times 14}{5} \\ \sf \: \therefore \: k = \frac{98}{5}$