Question

The product of two consecutive number is 30. Form and solve an equation to find the value of the integers

Answer 1

`5, 6\\-5,-6`

Explanation:

Let the first number be
`x`.

Let the second number be
`x+1`

Their product equals to 30.

`x * (x+1)=30`

`x^2 + x=30`

`x^2+x-30=0`

`(x-5)(x+6)=0`

`x-5=0\\x=5`

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

Answer 2

5 and 6; -5 and -6

Explanation:

Let the smaller integer be x.

The greater consecutive integer is x + 1.

x * (x + 1) = 30

x^2 + x - 30 = 0

(x - 5)(x + 6) = 0

x - 5 = 0 or x + 6 = 0

x = 5 or x = -6

For x = 5, then x + 1 = 5 + 1 = 6.

For x = -6, then x + 1 = -6 + 1 = -5

Answer: 5 and 6; -5 and -6