x/x-a + x/x-b = 2, find "x"
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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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