Polynomial equations in practice

The following exercise is solved in this step.

We invite you to try to solve it before watching the video.

In any case, you will find below a PDF file with the solution.

Exercise 1.

Solve the polynomial equation [(k-1)x^2+kx+1=0,quad kinmathbb R.]

Exercise 2. [Solved only in the PDF file]

Solve the polynomial equation (x^6+7x^3-8=0).

Exercise 3. [Solved only in the PDF file]

Solve the following polynomial equations:

i) (x^3-5x^2+6x=0);

ii) ((x^2-5)^2+x^2-7=0);

iii) (9x^5+4=0);

iv) (9x^5-4=0);

v) (9x^6+4=0);

vi) (9x^6-4=0).