Question

Prove that the equation 3mx² – (2m + 3n) x + 2n=0 has rational roots
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Answer 1

Answer:

f(2)=3×4-4m+2n

0=12-4m+2n

-4m+2n=-12..eq (1)

f(3)=27-6m+2n=0

-6m+2n=-27... eq (2)

eq(1)-(2)

2m=15

m=15/2

put m=15/2 in eq (1)

-4×15/2+2n=-12

-30+2n=-12

2n=18

n=9

m=15/2: n=9