SOLUTION: Find two numbers, one of which is double the other, if the square of their sum exceeds the sum of their squares by 1oo.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find two numbers, one of which is double the other, if the square of their sum exceeds the sum of their squares by 1oo.      Log On


   



Question 171631: Find two numbers, one of which is double the other, if the square of their sum exceeds the sum of their squares by 1oo.
Answer by Alan3354(69443) About Me  (Show Source):
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Find two numbers, one of which is double the other, if the square of their sum exceeds the sum of their squares by 1oo.
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x and 2x
(x+2x)^2 = x^2 + (2x)^2 + 100
9x^2 = 5x^2 + 100
4x^2 = 100
x^2 = 25
x = 5, -5
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The numbers are 5 and 10, or
-5 and -10