Question

find the number of solutions of x^4 - x^2 +2x -1 =0​

Answer 1

Answer:

Two real solutions. Two imaginary solutions.

Step-by-step explanation:

• $x^4-x^2+2x-1=0$

We can tell by the structure

• $x^4-(x-1)^2=0$

Factorization Method

• $(x^2+x-1)(x^2-x+1)=0$

Now, it will have roots at:

$(x^2+x-1)=0$ or $(x^2-x+1)=0$

The first roots are both real, while the second roots are both imaginary.