Answer:
14 or -12
Explanation:
Start by writing an equation for this.
84 = x * (2x + 2)
This expression works because 84 is the product of the number (x) and twice the number plus 2.
Using the equation, solve for x.
84 = x * (2x + 2)
First, simplify.
84 = 2x^2 + 2x
Subtract 2x^2 + 2x to make the equation equal to 0.
84 - 2x^2 + 2x = 0
Factor:
−2(x − 6)(x + 7) = 0
Set factors equal to 0.
x − 6 = 0 or x + 7 = 0
x = 6 or x = -7
x represents the smaller number. The larger number is 2x + 2.
So double x and add 2.
2(6) = 12 and 12 + 2 = 14 so that's one of the options
2(-7) = -14 and -14 + 2 = -12 so that's the other.
Check:
14 * 6 = 84
-12 * -7 = 84