Solve the equation using the Quadratic Formula: *

2x2 – 2x - 2 = x2

x = 2

Step-by-step explanation:

First we have to distinguish the whole numbers from the numbers with variables.

The 2's are all whole numbers, and both 2x's are the numbers with variables.

Then we need to seprate them on different sides on the equal sign.

To do this, we need to add 2x out from the left side, and subtract it into the right side.

Therefore, the equation will now be 2 x 2 - 2 = 2x + 2x.

Now we can simplify both sides.

Starting with the left side, 2 x 2 - 2 equals to 2.

On the right side, 2x + 2x equals to 4x.

Therefore, the equation will now be 2 = 4x.

We can switch this to 4x = 2 to make it easier.

Now we can divide both sides together.

The most easiest way to do this is by turning it into a fraction.

So .

That equals to 2.

Therefore, x = 2.

Hope this helped :)

Let me know if you have any further questions!

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3