The product of 2 consecutive positive into is 1,332. Explain how you can write and solve a quadratic equation to find the value of the larger integer

To write and solve a quadratic equation for the given statement "The product of two consecutive positive integers is 1,332", a variable must first be assigned.

Let X = larger number and (X-1) = smaller number

*We subtracted a value of 1 because it is said that the two integers are positive consecutive numbers.

Next, take the product of both:

X (X-1) = 1332X = 37 (X-1) = 36

Let the smaller one is x so the larger is x+1

x (x+1) = 1332

x^2+x=1332

x^2 + x - 1332 = 0

(x - 36) (x + 37) = 0

so x = 36 or x = - 37

therefor the larger integer is either 37 or - 36