the sum of two integers is -11 and their product is -80 what are the two integers?​

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1. Answer:

   x = – 16

   x = 5

   Step-by-step explanation:

   Let one no be x.

   Other will be -11-x.

   So, product = x(-11-x) = -x(11+x) = -80 = x(11+x) = 80

   [tex]11x + {x}^{2} = 80[/tex]

   [tex] {x}^{2} + 11x – 80 = 0[/tex]

   [tex] {x}^{2} + 16x – 5x – 80 = 0[/tex]

   [tex]x(x + 16) – 5(x + 16) = 0[/tex]

   [tex](x + 16)(x – 5) = 0[/tex]

   [tex]x = – 16 \\ x = 5[/tex]

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