This is for 8th grade pls answer .

Step-by-step explanation:

We have that

We are trying to find the number value so that we can apply in the later equation.

Qe first simplify.

Remeber that

Also remeber that

so

We then simply remeber that x^0=1 so

Multiply both sides by x^2.

Subtract both sides by 3x^2

Notice that x^4= (x^2)^2.

So our reformed equation is

Let a variable , w equal x^2. This means that we subsitute variable, w in for x^2.

Now we use the quadratic formula

and

Let a=1 b=-1 and c=1.

Now, we get

and

Now since we set both of these to the x^2 we solve for x.

and

and

We can represent both of these as complex number in the form of a+bi. Next we can convert this into trig form which is

and

Next we take the sqr root of 1 which is 1, and divide the degree by two.

and

We are asked for the 2nd root so just add 180 degrees to this and we have

and

which both simplified to

and

Now we must find

x^18+x^12+x^6+1.

We just use demovire Theorem. Which is a complex number raised to the nth root is

So let plug in our first root.

To save time we multiply the angle and use rules of terminals angle and we get

And we get

So one of the answer is x=0

And the other, let see

We get

So our answer are 2.

So the answer to the second part is

0 and 2.

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step-by-step explanation: