(a/b)x-3=(b/a)x-5 হয় তবে x এর মান কত?

A    8

B    3

C    5

D    4

Solution

Correct Answer: Option D

{ax-3/bx-3} = {bx-5/ax-5}

cross multiplication of both sides of the equation gives us 

(ax-3)(ax-5) = (bx-5)(bx-3)

ax-3+x-5 = bx-5+x-3

a2x-8 = b2x-8

(a/b)2x-8=1

(a/b)2x-8=(a/b)0

2x-8 = 0

 x = 4

 

 

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