Question

Calculate the value of m if :
m (m - 6) = 9​

Answer 1

$\textbf{Given:}$

$\mathsf{m(m-6)=9}$

$\textbf{To find:}$

$\textsf{The value of m}$

$\textbf{Solution:}$

$\textsf{Consider,}$

$\mathsf{m^2-6m=9}$

$\mathsf{m^2-6m+9=9+9}$

$\mathsf{(m-3)^2=18}$

$\mathsf{m-3=\pm\sqrt{18}}$

$\mathsf{m-3=\pm\,3\sqrt{2}}$

$\implies\boxed{\mathsf{m=3\pm\,3\sqrt{2}}}$

Find more:

Solve the following equation (x^2-5x)^2 - 7(x^2-5x) +6=0

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