Question

Find the pair of integers whose product is -36 and whose difference is 15

Answer 1

let integers be x and y
$x - y = 15 ...(1)\\ xy = - 36 \\ (x + y) {}^{2} = (x - y) {}^{2} + 4xy \\ (x + y) {}^{2} = 225 + 4( - 36) \\ (x + y) = 9 \: or \: - 9 ....(2)\\ from \: (1)and(2) \\ x - y = 15 \\ x + y = 9 \\ add \\ 2x = 24 \\ x = 12 \: so \: y = 3...........ans \\ \%\%another \: case\%\% \\ x - y = 15 \\ x + y = - 9 \\ add \\ 2x = 6 \\ x = 3 \: so \: y = - 12.....answer$
mark as brainliest if helped