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in Complex number and Quadratic equations by (52.7k points)

If 2, 3 are roots of 2x2 + mx2 - 13x + n = 0, then the values of m and n

(A)  −5, −30

(B)  −8, 80

(C)  5, 30

(D)  −5, 30

1 Answer

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Best answer

Correct option  (D) −5, 30 

2x3 + mx2 - 13x + n = 0 has three roots. We have two roots; let the third root be a. Product of the three root is

This gives the third root as -5/2 .

Therefore,

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