The second number is 5 more than the first number squared
The sum of the first number squared and the second number is 7
Write a system to represent this relationship, and then solve for the two numbers

Respuesta :

Answer:

System:

y = x² + 5

x² + y = 7

Solution:

1 and 6

-1 and 6

Step-by-step explanation:

Let the first number be x

The second number be y

y = x² + 5

x² + y = 7

x² + x² + 5 = 7

2x² = 2

x² = 1

x = +/- 1

y = 1 + 5 = 6

There are two possible solutions:

x = 1 , y = 6

x = - 1 , y = 6