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a) Simplify: 1/x + 1/x-1 b)...

a) Simplify: 1/x + 1/x-1

b) Solve: 1/x +1/x-1 = 0

c) When solving a rational equation in part b), why it is OK to remove the denominator by multiplying both sides by LCD and why can you not do the same operation when simplifying a rational expression in a) above.

d) Use discriminant to discuss the number of solutions of the following quadratic equations:

a) x^2-x-1=0 ; b) 2x^2-8x=-8

e) What are the different types of equations you have learned to solve? Describe and give examples.

b) Solve: 1/x +1/x-1 = 0

c) When solving a rational equation in part b), why it is OK to remove the denominator by multiplying both sides by LCD and why can you not do the same operation when simplifying a rational expression in a) above.

d) Use discriminant to discuss the number of solutions of the following quadratic equations:

a) x^2-x-1=0 ; b) 2x^2-8x=-8

e) What are the different types of equations you have learned to solve? Describe and give examples.

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