Question

9. The product of a number and 2 more than that is 168. What are the
numbers?
0.Find two numbers with product 2 and sum 4?​

Answer 1

let one number be x

Other number be y

=2+x

ACCORDING TO QUESTION,

x^2+(2+x)^2=168

x^2+(2^2+x^2+2×2×x)=168 (USING IDENTITY)

x^2+4+x^2+4x=168

2x^2+4x+4=168

2(x^2+2x+2)=168

x^2+2x+2=84

x^2+2x+2-84=0

x^2+2x-82=0

THROUGH,MIDDLE SPLITTING,WE CAN SOLVE THIS EQUATION

B.Let one number be x

Other will be 4-x

ACCORING TO QUESTION,

x(4-x)=2

4x-x^2-2=0

-2(-2x+x^2+1)=0

x^2-2x+1=0

THIS TOO CAN BE SOLVED THROUGH MIDDLE SPLITTING