SOLUTION: Two numbers have a difference of 14. If the larger number is increased by 5
and the smaller number is squared, the sum will be 61. Write a system of
equations for this question
Algebra ->
Systems-of-equations
-> SOLUTION: Two numbers have a difference of 14. If the larger number is increased by 5
and the smaller number is squared, the sum will be 61. Write a system of
equations for this question
Log On
Question 1081796: Two numbers have a difference of 14. If the larger number is increased by 5
and the smaller number is squared, the sum will be 61. Write a system of
equations for this question and then find the numbers Found 2 solutions by jorel1380, MathTherapy:Answer by jorel1380(3719) (Show Source):
You can put this solution on YOUR website! Let the 2 numbers be n and n-14. Then:
n+5+(n-14)²=61
n+5+n²-28n+196-61=0
n²-27n+140=0
(n-20)(n-7)=0
n=20 or 7
This gives us the sets of (20,6) and (7,-7) as answers. ☺☺☺☺
You can put this solution on YOUR website! Two numbers have a difference of 14. If the larger number is increased by 5
and the smaller number is squared, the sum will be 61. Write a system of
equations for this question and then find the numbers
Let the larger and smaller numbers be L, and S, respectively
Then system of equations is:
Correct answers:
