The square of k is 69 less than the square of k+3. what is k

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Answer

k = 10

Explanation

$\begin{gathered} \text{The square of k is 69 less than the square of k+ 3} \\ is\text{ means equal to in mathematics} \\ \text{Mathematically, we have the following equation} \\ k^2=(k+3)^2\text{ - 69} \\ \text{open the parenthesis} \\ k^2=k^2\text{ + 6k + 9 - 69} \\ k^2=k^2\text{ + 6k - 60} \\ \text{Collect the like terms} \\ k^2-k^2\text{ = 6k - 60} \\ 0\text{ = 6k - 60} \\ -6k\text{ = -6}0 \\ \text{Divide through by - 6} \\ (-6k)/(-6)\text{ = }(-60)/(-6) \\ k\text{ = 10} \end{gathered}$

Hence, k = 10

The square of k is 69 less than the square of k+3. what is k

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