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Solving a Quadratic Equation by Factorization Method

Solve the fol...

Question

Solve the following quadratic equation by factorization.
$16 x - \frac{10}{x} = 27$

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Solution

product of -10 and 16 = -160
which can be written as -32 x 5
-32+5= -27

$16 x squared minus 27 x minus 10 equals 0 16 x squared minus 32 x plus 5 x minus 10 equals 0 16 x left parenthesis x minus 2 right parenthesis plus 5 left parenthesis x minus 2 right parenthesis equals 0 left parenthesis 16 x plus 5 right parenthesis left parenthesis x minus 2 right parenthesis equals 0 x equals fraction numerator negative 5 over denominator 16 end fraction comma space 2$

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