Question

The sum of 2 numbers is 18 while the product is -63. find the numbers.​

Answer 1

Explanation:

let the numbers be x and y,then

x+y=18

x=18-y

also xy=-63

(18-y)y=-63

18y-y²=-63

y²-18y-63=0

y²-21y+3y-63=0

y(y-21)+3(y-21)=0

(y-21)(y+3)=0

y=21,-3

when y=21

x=18-21=-3

when y=-3

x=18-(-3)=18+3=21

so numbers are -3 and 21.