SOLUTION: Hi, I need help on this question: Find two positive numbers whose difference is 6 and the sum of whose squares is 900. Thank you

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Hi, I need help on this question: Find two positive numbers whose difference is 6 and the sum of whose squares is 900. Thank you      Log On


   



Question 1105936: Hi, I need help on this question:
Find two positive numbers whose difference is 6 and the sum of whose squares is 900.
Thank you

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
x^2 + (x+6)^2 = 900.


Solve for x.


Keep only positive solution.


Answer.  x = 18.