What is (k^2-11k+30)/(9k^2-90k+216) ?

The solution to (k^2-11k+30)/(9k^2-90k+216) is (k-5)/(9(k-4))

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simplify (k^2-11k+30)/(9k^2-90k+216)

simplify

\frac{k ^{2} - 11 k + 30}{9 k ^{2} - 90 k + 216}

\frac{k - 5}{9 ( k - 4 )}

Solution steps

\frac{k ^{2} - 11 k + 30}{9 k ^{2} - 90 k + 216}

Factor

k^{2} - 11 k + 30 : (k - 5) (k - 6)

= \frac{( k - 5 ) ( k - 6 )}{9 k ^{2} - 90 k + 216}

Factor

9 k^{2} - 90 k + 216 : 9 (k - 4) (k - 6)

= \frac{( k - 5 ) ( k - 6 )}{9 ( k - 4 ) ( k - 6 )}

Cancel the common factor:

k - 6

= \frac{k - 5}{9 ( k - 4 )}

8 x - 11 > - 27

\frac{12}{7} - 5

\frac{1}{4} + \frac{2}{7} + \frac{1}{7}

(6^{4})^{3}

(x + 46) (86 - x) \geq 0

What is (k^2-11k+30)/(9k^2-90k+216) ?
The solution to (k^2-11k+30)/(9k^2-90k+216) is (k-5)/(9(k-4))