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Equations

By Viet Dh

 

Problem 1: Solve equation .

Solve:

Condition .

Equation has no root

.

We have

 

 

 

Problem 2: Solve equation .

Solve:

Condition .

We have

 

Setting .

Deduce

 

 

Thus

 

.

Problem 3: Solve equation .

Solve:

We have

Setting .

Deduce

.

    .

     

    .

Setting . We obtain

Thus

 

.

 

 

Problem 4: Solve equation .

Solve:

Condition

Setting

We have

Thus

 

 

 

Setting . We obtain

Deduce

Problem 5: Solve equation

.

Solve:

Condition

.

We have

 

Setting

 

.

We obtain


 

 

 

 

Thus

 

"Chance favors the prepared mind." - Louis Pasteur