The product of two consecutive integers is 420. an equation is written in standard form to solve for the smaller integer by factoring

X * (X +1) = 420

X^2 + X = 420

X^2 + X -420 = 0

X = 20

Step-by-step explanation:

For this case we have We must find an equation that allows us to find the smallest value. So:

Let "x" be the variable that represents the smallest number. Thus, "x + 1" represents the consecutive integer. The equation would be given by:

To factor, we must find two numbers that multiply as a result -420 and sum as a result 1.

These numbers are:

Thus, the factorization is:

The roots are:

Effectively, the smallest integer was found,.

Answeer:

step-by-step explanation:

infinity is the answer