Question

if m and n are the zeroes of the polynomial 3x^2+11x-4 find the value of m/n+n/m

Answer 1

let the polynomial be (Px)=3x²+11x-4=ax²+bx-c....then
$m + n = - b \div a \\ m \times n = c \div a \\ again \\ \\ \frac{nm + nm}{nm } = \frac{n}{m} + \frac{m}{n} \\ by \: putting \: the \: value \: of \: nm \\ \frac{c \div a + c \div a}{c \div a} = \frac{2c \div a}{c \div a} = \frac{2c}{2} = 2 \: \: \: \: \: \: \: \: \: \: \: \\ so \: the \: ananswer \: is = 2$
hope it's helpful....thanks....