SOLUTION: The difference between the squares of two numbers is 5. Three times the square of the first number increased by the square of the second number is 31. Find the numbers.
Algebra.Com
Question 1102744: The difference between the squares of two numbers is 5. Three times the square of the first number increased by the square of the second number is 31. Find the numbers.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
numbers are are x and y
x^2-y^2=5
3x^2+y^2=31
Add them
4x^2=36, the y^2 disappear
x^2=9
x=3 and -3
check both
x=3, y=2 or -2
x=-3, y=2 or -2
(3, 2) (3, -2) (-3, 2) (-3, -2)
RELATED QUESTIONS
The difference between the squares of two numbers is 5.Three times the square of the... (answered by ikleyn)
The difference between the squares of two numbers is 3. Three times the square of the... (answered by Alan3354)
The difference between the squares of two numbers is 8. Three times the square of the... (answered by ikleyn)
The difference between the squares of two numbers is 21. Three times the square of the... (answered by Alan3354,greenestamps)
The difference between the squares of two numbers is 15. Four times the square of the... (answered by ikleyn)
The difference between the squares of two number is 3. Twice the square of the first... (answered by Alan3354)
the difference between the square of a number is 35. four times the square of the first... (answered by josgarithmetic)
The difference between the squares of two numbers is 51. Twice the square of the second... (answered by ankor@dixie-net.com)
Translate English language to Mathematical language
1. Four more than three times as... (answered by ewatrrr)