SOLUTION: One number is equal to the square of another. Find the numbers if both are positive and their sum is 1482.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: One number is equal to the square of another. Find the numbers if both are positive and their sum is 1482.       Log On


   



Question 928914: One number is equal to the square of another. Find the numbers if both are positive and their sum is 1482.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
y = xx
y + x = 1482
xx + x = 1482
xx + x - 1482 = 0
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the above quadratic equation is in standard form, with a=1, b=1 and c=-1482
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1 1 -1482
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the quadratic has two real roots at:
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x = 38
x = -39
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the negative root doesn't fit the problem statement, so use the positive root:
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x = 38
y = xx
y = 38*38
y = 1444
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answer:
x = 38
y = 1444
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