Question 551791
Solve 16     +    3   =5
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     x+5        x-2
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You're going to some trouble just to make things confusing.
I think you mean:
{{{16/(x+5) + 3/(x-2) = 5}}}
Multiply thru by (x+5)*(x-2)
{{{16(x-2) + 3(x+5) = 5(x+5)(x-2) = 5x^2 + 15x - 50}}}
{{{19x - 17 = 5x^2 + 15x - 50}}}
{{{5x^2 - 4x - 33 = 0}}}
Can you finish it?
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*[invoke solve_quadratic_equation 5,-4,-33]
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x = -2.2, x = 3