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maw [93]
2 years ago
9

If x -9 is a factor of x^2 -5x-36 , what is the other factor ?

Mathematics
1 answer:
faust18 [17]2 years ago
3 0

Answer:

(x + 4) (x - 9)

Step-by-step explanation:

Factor the following:

x^2 - 5 x - 36

The factors of -36 that sum to -5 are 4 and -9. So, x^2 - 5 x - 36 = (x + 4) (x - 9):

Answer: (x + 4) (x - 9)

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\mathrm{Equation\;Given:}\; 5+5x=\frac{12x-\frac{12}{5}\cdot \:7}{5}

\mathrm{Multiply\;both\;sides\;by\;5}:   5\cdot \:5+5x\cdot \:5=\frac{12x-\frac{12}{5}\cdot \:7}{5}\cdot \:5

\mathrm{Now\;we\;have\;}:  25+25x=12x-\frac{84}{5}

\mathrm{Subtract\;by\;sides\;by\;25}:   25+25x-25=12x-\frac{84}{5}-25

\mathrm{Thus\;we\;have}:  25x=12x-\frac{209}{5}

\mathrm{Subtracting\;12x\;from\;both\;sides}:  25x-12x=12x-\frac{209}{5}-12x

\mathrm{So\;then\;we\;have:} 13x=-\frac{209}{5}

\mathrm{Now\;divide\;both\;sides\;by\;13}:  \frac{13x}{13}=\frac{-\frac{209}{5}}{13}

\mathrm{Hence\;we\;have}:\;\;x=-\frac{209}{65}

\mathrm{Decimal\;form}:-3.21538461538

<u><em>Kavinsky</em></u>

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