One number is equal to the square of another. Find the numbers if both are positive and their sum is 5656.

Question

Please help me with this word problem.

Answer 1

x² + x = 56

x² + x - 56

(x - 7)(x + 8) = 0

 

x + 7 = 0

     x = 7

 

7 + 49 = 56

 

x + 8 = 0

    x = -8

 

Since we are asked for positive, this is out.