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

Answer:

37

Step-by-step 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.