Math, asked by tuhinav669, 7 months ago

The sum of two integer is -11 and their product is -80. What are the integers

Answers

Answered by rajeevgupta39
6

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Answered by divyamyindia271
2

Answer:

let one no. be x and other be y

ACC to question.

x + y =  - 11 \:  -  -  -  - 1 \\ xy =  - 80 -  -  -  -  - 2 \\ \\  \\ from \:  eq \: 1 \: and \: 2 \\  \frac{ - 80}{y}  + y =  - 11 \\  - 80 +  {y}^{2}  =  - 11y \\  {y}^{2}  + 11y - 80 = 0 \\  {y}^{2}  + 16y - 5y - 80 = 0 \\ y(y + 16) - 5(y + 16) = 0 \\ (y - 5)(y + 16) = 0 \\ so \: y = 5 \: or \: y =  - 16 \\ now \:  put \: the \: value \: of \: y \: in \: eq. \: 1 \\  \\  \\ when \: y = 5 \\ \\ x + 5 =  - 11 \\ x =  - 16 \\  \\ when \: x =  - 16 \\ x - 16 =  - 11 \\ x = 5

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