solve by factorization:m^2-11
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{m}^{2} - 11 = 0 \\ \\ {(m)}^{2} - {( \sqrt{11} )}^{2} = 0 \\ \\ using \: {a}^{2} - {b}^{2} = (a + b)(a - b) \\ \\ (m + \sqrt{11} )(m - \sqrt{11} ) = 0 \\ \\ when \: \: \: \: m + \sqrt{11} = 0 \\ \\ m = - \sqrt{11} \\ \\ when \: \: \: \: m - \sqrt{11} = 0 \\ \\ m = \sqrt{11}
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