Question

If m and n are the zeroes of the polynomial of 3x 2+11x -4 , find the value of (m/n)+(n/m)

Answer 1

Solution :-

Given : m and n are the zeroes of the polynomial of 3x² + 11x - 4.

Sum of zeros = m + n = - 4/3

Product of zeros = mn = - 11/3

Therefore,

m/n + n/m

= {(m² + n²)} /{nm}

= {(m + n)² - 2mn}/{mn}

Substituting the value :

= {(-4/3)² - 2 × - 11/3}/{-11/3}

= 3{16/9 + 22/3}/-11

= 3{(16 + 66)/9}/-11

= 82/(-11 × 3)

= - 82/33

Answer : - 82/33