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Science & Mathematics by Anonymous 2018-07-10 00:04:20
Social Science
Is x^2+81 factorable?
5 answers
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Anonymous
x^2 + 81 = x^2 - (9i)^2 = (x - 9i)(x + 9i)
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Anonymous
= x² + 81 = x² - 81i² = x² - (9i)² → you recognize: a² - b² = (a + b).(a - b) = (x + 9i).(x - 9i)
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Anonymous
No, the sum of two squares is never factorable with real numbers.
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Anonymous
It's factorable if imaginary numbers are allowed. x^2 + 81 = (x + 9i)(x - 9i)
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Anonymous
Yes but only with complex factors. (x+9i)(x-9i)