Solve the following quadratic equation by factorization.
$48 x^{2} - 13 x - 1 = 0$

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Solution

product of -1 and 48 = -48
which can be written as -16 x 3
-16+3 = -13

$48 x squared minus 13 x minus 1 equals 0 48 x squared minus 16 x plus 3 x minus 1 equals 0 16 x left parenthesis 3 x minus 1 right parenthesis plus left parenthesis 3 x minus 1 right parenthesis equals 0 left parenthesis 16 x plus 1 right parenthesis left parenthesis 3 x minus 1 right parenthesis equals 0 x equals fraction numerator negative 1 over denominator 16 end fraction comma 1 third$

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