Question

Algebra Question, please provide a step-by-step explanation.

Answer 1

4 seconds

Explanation:

We have a quadtratic equation, that is, we have a function to the highest degree of x^2.

When solving this, we can either solve using the quadratic equation, or by solving for X which would be the easiest and quickest way to do it.

256 -16x^2=0

-16x^2=-256

x^2=16 (divide both sides by -16)

`√(x) =√(16)`

Which leaves x=4 as your answer.

To check this, we can simply input 4 back into the equation, and we will find that it does indeed equal 0.

To further visualize this, when we solve the equation for x, we are finding where the x value that intersects the x axis. We are finding where x=0, or when it touches the ground.

Answer 2

4 seconds

Explanation:

First I substitute the Y with 0 and then I move the 16x^2 to the left side of the equation and then I divide both sides with 16 leaving me with x^2 then I get the square root of both sides and then I evaluate it and then I got the answer x = 4