Question

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.

Answer 1

Answer:

37

Step-by-step explanation:

let the smaller integer be x and larger be x+1..

so

x(x+1)=1332

x²+x-1332=0

x²+37x-36x-1332=0

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

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

x=36,-37..

so smaller number is 36 and the greater number is 36+1=37