Question

The sum of two integers is -11 and their product is -60 What are the two integers?​

Answer 1

Step-by-step explanation:

let 1st integer= x

let 2 integer= y

ATQ

x+y = -11

x= -11-y..(1)

x×y= -60

put value of x

(-11-y)×y= -60

-11y-y²= -60

-y²-11y+60 = 0

y²+11y-60 =0

y²+15y-4y-60=0

y(y+15)-4(y+15)=0

(y-4)(y+15)=0

y-4 =0 or y+15=0

y=4 y=-15

put value of y in eq (1)

if y=4

then value of x= -11-4=-15

if value of y= -15

then value of x= -11+15=4