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Answer:
x/a - a+b/x = b(a+b) / ax
x^2 - a^2 -b / ax = a + b^2 / ax
x^2- a^2 - b = a+ b^2
x^2 = a+ b^2 + a^2 + b
x ^2 = a^2 + b^2 + a+ b
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x/a - (a+b) /x = b(a+b) /ax
Taking LCM,
[x² - a(a+b)] / ax = (ab + b²) / ax
Multiplying both sides by ax,
x² - a² - ab = ab + b²
x² = a² + b² + 2ab
x² = (a+b)²
Square root on both sides,
x = a + b or x = - (a + b)
@einstein
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