If the square of a positive integer is added to 4 times the integer, the result is 77. Find the integer.

Question

If the square of a positive integer is added to 4 times the integer, the result is 77. Find the integer.

 

Answer 1

p² + 4p = 77

p² + 4p - 77 = 0

(p + 11)(p - 7) = 0

 

p + 11 = 0

p = -11

Out.

 

p - 7 = 0

p = 7