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(9x-5)^2 -(9x-5)-42

 Mar 4, 2016
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\((9x-5)^2-(9x-5)-42=(81x^2-90x+25)-(9x-5)-42=81x^2-99x-12=3(27x^2-66x-4)\)

since 27x2-66x-4 is not a perfect square,

\(x=-\frac{\sqrt{133}-11}{9}, \frac{\sqrt{133}-11}{9}\)

this means that, when factorized,

\((9x-5)^2-(9x-5)-42=(x+\frac{\sqrt{133}-11}{9})(x-\frac{\sqrt{133}-11}{9})\)

 Mar 4, 2016

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