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Solution :
Given ,
n and m are the zeros of the polynomial F(x) = 3x^2 + 11x - 4
To Find
Value of m/n + n/m
Answer
⇒ 3 (m)^2 + 11 (m) - 4 = 0
⇒ 3m^2 + 11m - 4 = 0
⇒ 3m^2 + 12m - m -4 = 0
⇒ 3m ( m + 4 ) - 1 ( m + 4) = 0
⇒ ( 3m - 1) ( m + 4) = 0
⇒ m = 1/3 or 4
So , we replace n in x place we get some value
m/n + n/m = 1 + 1
=> 2
Therefore , the value of m/n + n/m is 2