Question

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

Answer 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

$11x + {x}^{2} = 80$

${x}^{2} + 11x - 80 = 0$

${x}^{2} + 16x - 5x - 80 = 0$

$x(x + 16) - 5(x + 16) = 0$

$(x + 16)(x - 5) = 0$

$x = - 16 \\ x = 5$