Question

El producto de dos números naturales consecutivos es 42 ¿cuáles son esos números?

Answer 1

The two consecutive natural numbers whose product is 42 are 6 and 7.

How to find the two consecutive natural numbers

To find the two consecutive natural numbers whose product is 42, set up the equation:

`x * (x + 1) = 42`

Expanding the equation:

`x^2 + x = 42`

Rearranging the equation to a quadratic form:

`x^2 + x - 42 = 0`

Now, solve this quadratic equation by factoring or using the quadratic formula.

Let's factor the equation:

`(x + 7)(x - 6) = 0`

Setting each factor equal to zero:

`x + 7 = 0\ or\ x - 6 = 0`

Solving for x in each case:

Case 1: x + 7 = 0

x = -7

Case 2: x - 6 = 0

x = 6

Since we are looking for natural numbers, we discard the negative solution (-7).

Therefore, the two consecutive natural numbers whose product is 42 are 6 and 7.

The product of two consecutive natural numbers is 42. What are those numbers?