The product of four continuous natural numbers is 5040. What are the four natural numbers How many are these numbers? Write the process clearly when solving the equation. Thank you

The product of four continuous natural numbers is 5040. What are the four natural numbers How many are these numbers? Write the process clearly when solving the equation. Thank you

Let the minimum number be X
∴x(x+1)(x+2)(x+3)=5040
(x^2+3x)(x^2+3x+2)=5040
Let y = x ^ 2 + 3x
Ψ y (y + 2) = 5040 ··· quadratic equation
y=70(y