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 = other number

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**

*- Algebra House*