squared

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lula lula
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squared

One number is equal to the square of another.  Find the numbers if both are positive and their sum is 2450.

Proof Proof
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Re: squared

x = one number
2450 - x = other number   ← their sum is 2450

2450 - x = x²   ← one number equals square of another
x² + x - 2450 = 0   ← subtracted 2450 and added x
(x + 50)(x - 49) = 0   ← factored
x + 50 = 0  or  x - 49 = 0   ← set equal to zero
x = -50   or   x = 49   ← solved
2450 - x = 2401   ← substituted

49 and 2401 are the two numbers

- Proof