Problema Solution

The sum of an integer squared and 4 times the integer is 77. FInd the integers.

Answer provided by our tutors

Let the integer be X

 

hence x^2 + 4*X = 77

     => x^2 + 4*X - 77 = 0

    => X^2 + 11*X - 7*X - 77 = 0

   => X(X + 11) -  7(X + 11) = 0

   => (X - 7) (X + 11) = 0

hence   (X - 7)= 0                      or  X + 11 = 0

          => x = 7                         OR x = -11