Math, asked by alwaysbettu2008, 11 months ago

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

Answers

Answered by TakenName
56

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.

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