Question

if 3/2 and 5/2 are the roots of mx²+4x-n=0.find the value of m and n​

Answer 1

Answer:

m = -1

n = 15/4

Step-by-step explanation:

Substitute 3/2 and 5/2 in place of x

If x = 3/2 , 9m/4 + 4(3/2) - n = 0

9m/4-n = -6

9m - 4n =-24 ____(1)

If x = 5/2, 25m/4 + 4(5/2) - n = 0

25m/4 - n = -10

25m - 4n = -40 _____(2)

Solving (1) and (2),

16m = 16

m = -1

n = 15/4

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