Question

(m-1)(m-2)=72
Find m

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$(m - 1)(m - 2) = 72 \\ {m}^{2} - 2m - 1m + 2 = 72 \\ {m}^{2} - 3m + 2 = 72 \\ {m}^{2} - 3m + 2 - 72 = 0 \\ {m}^{2} - 3m - 70 = 0 \\ {m}^{2} - 10m + 7m - 70 = 0 \\m(m - 10) + 7(m - 10) = 0 \\ (m - 10)(m + 7) = 0 \\ m - 10 = 0 \: \: \: or \: \: \: m + 7 = 0 \\ m = \underline{ \underline{ 10}} \: \: \: or \: \: \: m = \underline{ \underline{ - 7}}$