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23 January, 20:32

What is the solution to the equation m/m+4 + 4/4-m = m^2/m^2-16?

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  1. 23 January, 23:57
    0
    m = - 2

    Step-by-step explanation:

    The solution is m = - 2

    Step-by-step explanation:

    The given rational equation is

    We'll simplify the left hand side first.

    The LCD is (m+4) (4-m)

    Hence, multiply and divide the first term by 4-m and second by m + 4

    Use the difference of squares rule

    We can now add the numerator

    On simplifying, we get

    Add the like terms

    Multiply and divide left hand side by - 1

    We can cancel the denominator

    Divide both sides by 8

    The solution is m = - 2
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