Question

The sum of two numbers is - 10. Their product is 9. Find their difference:

Please give explanation ​

Answer 1

Answer:

let the one no.=x

second no.=y

according to the question,

x+y=-10(equation 1)

xy=9(equation 2)

from equation 1

x=-10-y

from equation 2

(-10-y)y=9

-10y-y^2=9

y^2+10y+9=0

y^2+9y+y+9=0

y(y+9)+1(y+9)=0

(y+9)(y+1)=0

y=-9,-1

if you put y=-9 then x=-19

if we put y=-1 then x=-11

difference becomes 10 in both value of y and x

I hope it's help you