Question 1003890
A positive integer number ....................x

increased by its square x+x^2


is equal to 77 times the next higher positive integer number.

77(x+1)

 Find the number.
x+x^2= 77(x+1)

x+x^2 = 77x+77

x^2-76x-77=0

x^2-77x+x-77=0

x(x-77) +1(x-77)=0


(x-77)(x+1)=0

x= 77 OR -1

But the integer is positive

=> x = 77