Question

If sum of product of two numbers qre 36 and 128 respectevly find the number

Answer 1

let first number=x

second number=y

x+y=36-eq(i)

x×y=xy=128

(x+y) ^2=(x-y) ^2+4xy

(36) ^2=(x-y) ^2+4(128)

1296-512=784=(x-y) ^2

(x-y) =√(784) =28-eq(ii)

by adding (i)+(ii)

x+y=36

x-y=28

——————

2x=(36+28)

——————

x=(64/2)=32

y=36-x=36-32=4

so, x=32,y=4

..........hope this may help you........