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Sagot :
Given: A quadratic equation,
[tex]x^2+4x+2=0[/tex]Required: To transform the equation by completing the square.
Explanation: The general quadratic equation of the form,
[tex]ax^2+bx+c=0[/tex]can be transformed into a complete square by adding and subtracting the following term,
[tex](\frac{1}{2}b)^2[/tex]Hence, adding 4 and subtracting 4 from the given equation,
[tex]x^2+4x+4-4+2=0[/tex][tex]x^2+2\times2\times x+\text{ }2^2-2=0[/tex]Now the equation can be transformed as follows,
[tex](x+2)^2-2=0[/tex]or,
[tex](x+2)^2=2[/tex]Final Answer: The
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