SOLUTION: A positive real number is 6 less than another. If the sum of the squares of the two numbers is 6 find the numbers.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A positive real number is 6 less than another. If the sum of the squares of the two numbers is 6 find the numbers.      Log On


   

Question 1077423: A positive real number is 6 less than another. If the sum of the squares of the two numbers is 6 find the numbers.
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x be the greater number.
Then the smaller is (x-6), and your equation is

x%5E2+%2B+%28x-6%29%5E2 = 6.

Simplify and solve for x.