Question

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

Answer 1

Given: A quadratic equation,

`x^2+4x+2=0`

Required: To transform the equation by completing the square.

Explanation: The general quadratic equation of the form,

`ax^2+bx+c=0`

can be transformed into a complete square by adding and subtracting the following term,

`((1)/(2)b)^2`

Hence, adding 4 and subtracting 4 from the given equation,

`x^2+4x+4-4+2=0`
`x^2+2*2* x+\text{ }2^2-2=0`

Now the equation can be transformed as follows,

`(x+2)^2-2=0`

or,

`(x+2)^2=2`

Final Answer: The