Solve for x, 3 / x² - 4 = 2 / x + 2 + 5 / x - 2
how is this done?
how is this done?
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First, use properly parentheses!
3/(x² - 4) = 2/(x + 2) + 5/(x - 2)
lcd = x^2 - 4
3 = 2*(x - 2) + 5*(x + 2)
2*x - 4 + 5*x + 10 = 3
7*x = - 3
x = - 3/7, answer!
3/(x² - 4) = 2/(x + 2) + 5/(x - 2)
lcd = x^2 - 4
3 = 2*(x - 2) + 5*(x + 2)
2*x - 4 + 5*x + 10 = 3
7*x = - 3
x = - 3/7, answer!
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Hint: multiply both sides by x^2 - 4 and realize that x^2 - 4 = (x-2)(x+2)
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Please use brackets, this can be interpreted in numerous different ways.