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One of the roots of the quadratic equation 4mnx^2 – 6m^2x – 6n^2x + 9mn = 0 (m, n ≠ 0) is a)-3m/2n b)3m/2n c)2m/3n d)-2m/3n

1 Answer

5 votes

Answer:


B.\ (3m)/(2n)

Explanation:

Given


4mnx^2 - 6m^2x - 6n^2x + 9mn = 0\ (m, n \\eq 0)

Required

Calculate one of the root of the equation


4mnx^2 - 6m^2x - 6n^2x + 9mn = 0

Factorize


2mx(2nx - 3m) -3n(2nx - 3m) = 0


(2mx - 3n)(2nx - 3m) = 0

Split equation


2mx - 3n = 0\ or\ 2nx - 3m = 0

Make x the subject of formula in both expressions


2mx = 3n\ or\ 2nx = 3m


x = (3n)/(2m)\ or\ x = (3m)/(2n)

From the list of given options, one of the roots of the equation is
(3m)/(2n)

User Daniel Langr
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