Question

Find two integers whose sum is -15 and product is 50

Answer 1

Answer:

they are -10 and -5

Step-by-step explanation:

-10 +-5 =-15

-10 *-5= 50

Answer 2

Answer:

x=-10

y=-5

Step-by-step explanation:

let the two integer are x and y

who's sum is -15

so. x+y=-15

x=-15-y_________(1)

and products is =50

xy=50 ________(2)

put the value of x in equation (2) from equation (1).

.

(-15-y) y=50

-15y-y^2=50

y^2+15y+50=0

y^2+(10+5) y+50

y^2+10y+5y+50

(y^2+10y) (5y+50)

y(y+10) +5(y+10)

(y+5) (y+10)

so

y=-5, y=-10

put the value of y=-5, -10 in equation (1)

x=-15-(-5)

to find the value of x

x=-15-(-5)

x=-15+5

x=-10