One number is equal to the square of another. Find the numbers if both are positive and their sum is 2450.
x = one number
2450  x = other number {the sum of the two numbers is 2450} 2450  x = x² {one number equals square of another} x² + x  2450 = 0 {subtracted 2450 from each side and added x} (x + 50)(x  49) = 0 {factored into two binomials} x + 50 = 0 or x  49 = 0 {set equal to zero} x = 50 or x = 49 {solved each equation for x} Only using the positive number, 49. 2450  x = 2401 {substituted 49, in for x, into (2450  x)} 49 and 2401 are the two numbers Ask Algebra House Comments are closed.

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