Equivalence 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 equation (dfrac 1x+dfrac{x+frac 32}{x+1}=0).

Exercise 2. [Solved only in the PDF file]

Solve the equation (dfrac{x^4-2x^2-2x+3}{x^2-2x+1}=1).

Exercise 3. [Solved only in the PDF file]

Solve the equation ((y+7)^2=y^2).

Exercise 4. [Solved only in the PDF file]

Solve the equation (dfrac 1{x^2}+dfrac{2x-1}{x^2-1}=0).