Question

PLZ HELP I will give the brain!! Which of the following statements is true about completing the​ square? 1. When completing the square, add the square of half the coefficient of x to only the x^2+bx side of the equation. 2. When completing the square, add the square of half the coefficient of x to both sides of the equation. 3. When completing the square, subtract the square of half the coefficient of x from both sides of the equation. 4. When completing the square, add half the coefficient of x to both sides of the equation.

Answer 1

`\huge \boxed{\mathrm{Option \ 2 }}`

`\rule[225]{225}{2}`

Explanation:

When completing the square, we add the square of half the coefficient of x to both sides of the equation.

`\Longrightarrow \ \displaystyle ( (b)/(2) ) ^2`

Where b is the coefficient of x in the equation.

`\rule[225]{225}{2}`

Answer 2

Option 2

Explanation:

When completing the square, you have to find the number that will allow you to find the perfect square trinomials and when you factor that it should get the form a^2 + 2ab + b^2 and if a is equal to 1, then to find b, you have to take the half of the coefficient and square it because of the equation, and to maintain a balanced equation, you have to add it to both sides (same to both sides)

Hope this helped.