Question

the sum is 14 and product is 45

Answer 1

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Answer 2

$x(14 - x) = 45 \\ 14 {x}^{2} = 45 \\ 14 - {x}^{2} - 45 = 0 \\ - {x}^{2} + 14x - 45 = 0 \\ {x}^{2} + 9x + 5x - 45 = 0 \\ x(x - 9)5(x - 9) = 0 \\ (x - 9)( - x + 5) = 0 \\ x = 9 = 5$