Question

m^2 -23m +100 factorise the following
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Answer 1

Step-by-step explanation:

${m}^{2} - 23m + 100 = 0 \\ {m}^{2} - (2 \times \frac{23}{2}m ) + {( \frac{23}{2}) }^{2} = - 100 - ({ \frac{23}{2}) }^{2} \\ {(m - \frac{23}{2}) }^{2} = - 100 - \frac{592}{4} \\ {(m - \frac{23}{2} )}^{2} = \frac{ - 400 - 592}{4} \\ {(m - \frac{23}{2}) }^{2} = \frac{ - 992}{4} \\ m - \frac{23}{2} = \sqrt{ \frac{ - 992}{4} } \\ m - \frac{23}{2} = \frac{ \sqrt{ - 992} }{2}$