homework help

Question

The sum of two numbers is 210. If one number is the square of the other, find the set of numbers

Answer 1

• x+y=210
• x²=y
• x+x²=210
• x²+x-210=0
• (x-14)(x+15)=0
• x=14 or -15

 

The first number could be either 14 or -15, and the second number is the square of the first number.  There are two solutions:

 

1. x=14, y=196
2. x=-15, y=225