Question

99=k(k+2) deduce the value of k​

Answer 1

Step-by-step explanation:

$99 = k(k + 2) \\ \\ \\ = > 99 = {k}^{2} + 2k \\ \\ \\ = > {k}^{2} + 2k - 99 = 0 \\ \\ \\ = > {k}^{2} + 11k - 9k - 99 = 0 \\ \\ = > k(k + 11) - 9(k + 11) \\ \\ = >( k - 9)(k + 11) = 0 \\ \\ \\ = > k = 9 \\ = > k = - 11$

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