If m and n are the zeros of the polynomial, find the value of m/n+n/m

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Solution

Sol:
Given m & n are zeros of a polynomial 3x2 +11x - 4

m + n = - 11 / 3

mn = - 4 / 3

Now m / n + n / m = ( m^2 + n^2 ) / mn

⇒ √[ (m + n )^2 - 2mn ] / mn

⇒ √[ (121 / 9 ) + (8 / 3) ] / - 4 / 3

⇒ √[ (145 / 9 ) / (- 4 / 3)

⇒ √[ (145 / 9 ) / (- 4 / 3)

⇒ - √145 / 4.

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