Question

If the square of a positive integer is added to 55 times the integer, the result is 336336. find the integer.

Answer 1

The square of a positive integer added to 4 times the integer is 437..

x2 + 4x = 437

I chose to do this by completing the square..

x2+4x+4 = 437 + 4
(x+2)2 = 441
Take square root of both sides

x+2 = ±√441
x = -2 ± 21

x = -23 or x = 19
x = 19