Four times the square of a certain number increased by 6 times the number equals 108.find the number

To effectively determine the correct answer, it would be helpful to write this into an algebraic expression. We let x as the number. We do as follows:

Four times the square of a certain number increased by 6 times the number equals 108.

4x^2 + 6x = 108

The numbers can be either of the following since the equation generated was a quadratic equation which has two roots.
x = 4.5
x = -6 

Hello there.

Four times the square of a certain number increased by 6 times the number equals 108.find the number

x = 4.5
x = -6 

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.