Question

P and Q are numbers, P+Q=1 and PQ= -20. what are the values of P and Q?

Answer 1

Answer:

$p + q \: = 1 \\ p = 1 - q \\ putting \: value \: of \: p \: in \: other \: equation \: \\ q - 1(q) = - 20 \\ {q }^{2} - q = - 20 \\ {q}^{2} - q + 20 = 0 \\ {q}^{2} - 5q + 4q + 20 = 0 \\ q(q - 5) + 4(q - 5) \\ so...q = - 4 \: or \: q = 5 \\ and \: p = 5 \: or \: p = - 4 \: respectively$

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