The product of two consecutive integers is greater than 100

The product of two consecutive integers is greater than 100

Take an integer x.
Next consecutive integer is x + 1

The product of those integers is:
x(x + 1)

This product is greater than 100 which gives us the algebraic expression of:
x(x + 1) > 100

IF we want to solve for x:
x^2 + x > 100

Subtract 100 from each side:
x^2 + x - 100 > 0

Solve this quadratic: