Question

If m and n are the zeros of the polynomial 3x square + 11x -4 , find m/n + n/m

Answer 1

m/n+n/m = m+n/mn
m+n = -11/3
mn=-4/3
-11/3*3/-4
11/4
ans= 11/4

Answer 2

Hey

Here is your answer,

3x^2 +11x -4 =0

Sum of zeroes = -b/a
m+n = -11/3

Product of zeroes = c/a
mn=-4/3

= m/n+n/m
=m^2 + n^2 /mn
=(m+n)^2-2mn/mn
=(-11/3)^2 -2x-4/3 / -4/3
=121/9 +8/3. / -4/3
= 121+24/9 / -4/3
=145/9 / -4/3
=-145/12

Hope it helps you!