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

Product of two consecutive integer so this mean that x and y but y = x+1 than

x (x+1) = 1332

x^2 + x - 1332 = 0 so bc. you get 36*37=1332 and 37x-36x=x so you can rewriting this quadratic factorized completlie

x^2 + x - 1332 = 0

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

x+37=0

x=-37 so the larger integer result that will be 37

Sample Response: The numbers can be written as x and x + 1. Set the product of the numbers equal to 1,332 to get x (x + 1) = 1,332. You can solve the quadratic equation by using the quadratic formula, completing the square, or factoring. When you solve the quadratic equation, you find that x = - 37 and 36. Since the question asked for positive integers, the only viable solution is x = 36. To solve for the larger integer, you add 1 to 36 to get an answer of 37.