SOLUTION: The square of a certain number exceeds twice the square of another number by 1/8. Also, the sum of their squares is 5/16. Find possible pairs of numbers that satisfy these conditio

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The square of a certain number exceeds twice the square of another number by 1/8. Also, the sum of their squares is 5/16. Find possible pairs of numbers that satisfy these conditio      Log On


   

Question 1048634: The square of a certain number exceeds twice the square of another number by 1/8. Also, the sum of their squares is 5/16. Find possible pairs of numbers that satisfy these conditions.
Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2%2B1%2F8=2b%5E2
8a%5E2%2B1=16b%5E2
a%5E2%2Bb%5E2=5%2F16
b%5E2=5%2F16-a%5E2
8a%5E2%2B1=16%2A%285%2F16-a%5E2%29
8a%5E2%2B1=%285-16a%5E2%29
24a%5E2=%284%29
a%5E2=%284%2F24%29
a%5E2=%281%2F6%29
a=%28sqrt%281%2F6%29%29
b%5E2=5%2F16-1%2F6
b%5E2=30-16%2F96
b%5E2=14%2F96
b%5E2=7%2F48
b%5E2=7%2F48
b=sqrt%287%2F48%29


check by your self.