Math, asked by Sushilasharma, 7 months ago

x/x-a + x/x-b = 2, find "x"​

Answers

Answered by LovablePriya
5

Answer:

See attachment above...

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Answered by anchal12jain
7

Answer:

x = 2ab / (a + b)

Step-by-step explanation:

x/(x - a) + x/(x - b) = 2

By taking LCM

[x(x - b) + x(x - a)]/(x - a)(x - b) = 2

x² - bx + x² - ax = 2(x - a)(x - b)

2x² + (-a -b)x = 2{ x² + (-a -b)x + ab}

2x² + (-a -b)x = 2x² + (-2a -2b )x + 2ab

(-a -b)x - (-2a -2b )x = 2ab

(a + b)x = 2ab

x = 2ab/(a + b)

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