Question

can anyone help me for doing factorization method in quadratic equation
${m}^{2} - 84 = 0 \\ {m}^{2} - ( \sqrt{84} )^{2} = 0$
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Answer 1

Step-by-step explanation:

${m}^{2} - 84 = 0 \\ {(m)}^{2} - {( \sqrt{84} )}^{2} = 0 \\ (m + \sqrt{84} )(m - \sqrt{84} ) = 0 \\ue \: identity \: ( {a}^{2} - {b}^{2} ) = (a + b)(a - b) \\ m + \sqrt{84} = 0 \: \: or \: \: m - \sqrt{84} = 0 \\ m = - \sqrt{84} \: \: or \: \: \: m = \sqrt{84} \\ m = - 9.17 \: \: or \: \: m = 9.17$

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