Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Transform the quadratic equation into a perfect square equation by completing the square.x² + 4x + 2 = 0Enter your answer in the boxes.

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

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.