Determine the next step for solving the quadratic equation by completing the square

0= -2x^2 + 2x + 3

Explanation:

1.    : Given (addition property / add - 3 to both sides)

2.    : Given (commom factor - 2)

3.

    To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.

Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.

4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

5. Divide both sides by - 2 to get the next expression:

6. The last step is to extract squere root from both sides of the equality:

-3.5 is the distance.

i've had this question so choose the one in the absolute value sign.

answer: i think its red because you have to see what it equals to

hope that