Question

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

Answer 1

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

Answer 2

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