the sum of two integers in -11 and their product is -80. what are the two integers
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Let the no. be x and y
Then, A/Q
x+y=-11
xy=-80
If x+y=-11
Then, y=-11-x
Then A/Q xy= -80
x(-11-x)= -80
-11x-x^2= -80
-11x-x^2+80=0
-x^2-11x+80=0
-x^2-16x+5x+80=0 [x^2+(a+b)x+ab=(x+a)(x+b)]
-x(x+16)+5(x+16)=0
(-x+5)(x+16)=0
Therefore x=5 and y=16
OR
x=16 and y=5
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