Question

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

Answer 1

37

Explanation:

Product of two consecutive integers: assuming
`x` to be the first positive integer so the next consecutive integer will be
`x+1`.

So we get the equation:

`x(x+1)=1332`

Now solving it to get the value of the larger integer (x+1):

`x ^ 2 + x = 1332`

`x ^ 2 + x - 1 3 3 2 = 0`

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

(Ignoring the negative value of x)

`x=36`

Therefore, the larger integer will be
`x+1=36+1=` 37.