Question 168019
X=first #

x+1=2nd #

The equation is as follows

(x)(x+1)-20(x+1)=442

mulitply the terms to get:

x^2+x-20x-20=442

Combine like terms

x^2-19x-20=442

Add 20 to both sides

x^2-19x=462

Subtract 462 from both sides

x^2-19x-462=0

This is a quadratic eqation or parabola
*[invoke quadratic "x", 1, -19, -462]

The solutions to this equation is -14,33

Since the number in question is not negative the only solution is 33. Let's check our answer.


(33)(34)-20(34)=442

1,122-680=442