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8ab X+4a x+4bन जार मेa+b x—4a x-4b x = -3 भोन निर्श काला । |
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Answer» Given : x = 8ab / (a + b) ==> x = 4a * 2b / (a + b)=> x / 4a = 2b / (a + b) - - - (1) Similarly, x / 4b = 2a / (a + b) - - - -(2) Now, using Componendo & Dividendo in (1) & (2)and adding left to left and right to right we get,(x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) =. . (2a + a + b) / (2a - a - b) + (2b + a + b) / (2b - a - b) => (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = (3a + b) / (a - b) + (3b + a) / (b - a )=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = (3a + b) / (a - b) - (3b + a) / (a - b )=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = (3a + b - 3b - a) / (a - b)=> (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = (2a - 2b) / (a - b) = 2(a - b) / (a - b) => (x + 4a) / (x - 4a) + (x + 4b) / (x - 4b) = 2 . . . . |
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