Exercise
Solve the equation:
Final Answer
Solution
In order to get quadratic equation, we define a new variable:
We set the new variable:
It’s a quadratic equation with the coefficients:
We solve it with the quadratic formula. Putting the coefficients in the formula gives us
Hence, we get the solutions:
We go back to the original variable. From the first solution we get
From the second solution we get
This equation has no real solution, because the left side is negative, while the right side is positive for every x.
Hence, the only solution of the equation is
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