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

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