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Summation by Sigma Method

Solve for p: ...

Question

Solve for p: $p^{2} - 10 p + 25 = 0$

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Solution

$p^{2} - 10 P + 25 = 0$
On middle term expansion
$p^{2} - 5 p - 5 p + 25 = 0$
$p (p - 5) - 5 (p - 5) = 0$
$(p - 5)^{2} = 0$
$[p = 5]$

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