Question

x^8=1 Find the value of x with the steps

Answer 1

Answer:

x=1

Step-by-step explanation:

x^8=1

x=8√1

x=1

hope it will help you

Answer 2

Answer:

so notes this

Step-by-step explanation:

Let us take the equation x8=1x8=1 and rewrite the equation with u=x2u=x2

and u4=x8.u4=x8.

So u4=1u4=1

Let us solve for u4=1u4=1

Rewrite the equation with v=u2v=u2 and v2=u4,v2=u4,

So v2=1v2=1 .

For (g(x))2=f(a)(g(x))2=f(a) the solutions are g(x)=f(a)−−−−√,−f(a)−−−−√g(x)=f(a),−f(a)

So v=1–√,v=−1–√v=1,v=−1

Since v=u2v=u2 , solve the following equations in order to find uu .

So we solve for u21–√u21

For x2=f(a)x2=f(a) the solutions are x=f(a)−−−−√,x=−f(a)−−−−√x=f(a),x=−f(a)

So u=1–√−−−√,u=−1–√−−−√,u=1,u=−1, simplified to

u=1,u=−1.u=1,u=−1.

So we the following solutions: u=1,u=−1,u=i,u=−i.u=1,u=−1,u=i,u=−i.

Now since u=x2u=x2 , solve the following equations in order to find xx .

x2=1x2=1 . For x2=f(a)x2=f(a) the solutions are x=f(a)−−−−√x=f(a) and x=−f(a)−−−−√x=−f(a)

So x=1–√,x=−1–√x=1,x=−1 , and simplify to

x=1,x=−1x=1,x=−1

Solve for x2=ix2=i

For x2=f(a)x2=f(a) the solutions are x=f(a)−−−−√x=f(a) and x=−f(a)−−−−√x=−f(a)

So we have x=i√,x=−i√x=i,x=−i

Solve for x2=−ix2=−i

For the same reasons just stated previously we have x=−i−−√,x=−−i−−√x=−i,x=−−i

The final solutions of the equation are:

x=±1,x=±i,x=±i√,x=±−i−−√x=±1,x=±i,x=±i,x=±−i