Question

solve the reciprocal solution (x*x*x*x)-2(x*x*x)+2(x*x)-2x+1​

Answer 1

Answer:

We see that it is a reciprocal equation, so we divide it by x

2

:

⇒x

2

−3x+4−

x

3

+

x

2

1

=0

⇒(x

2

+

x

2

1

)−3(x+

x

1

)+4=0

We will now substitute x+

x

1

=u

By squaring it, and solve further we get

⇒x

2

+

x

2

1

=u

2

−2

We plug back into the equation to get

⇒u

2

−3u+2=0

The solutions are u

1

=1,u

2

=2

So either x+

x

1

=1 or 2

From the first solution we get

⇒x

2

−x+1=0 which has no solution

From the second one we get

⇒x

2

−2x+1=0

⇒x=1

Step-by-step explanation:

Hope this will help you