What does the equation y = x2 - 6x + 5 become after completing the square?

The answer is:

The answer is: C.

To answer this question, we need to remember the completing square process.

We can complete the square in the following way:

- Make the function equal to 0.

- Isolate the constant number (c).

- Find the number that completes the square using the following formula:

- Add the number that completes the square to both sides of the equation.

- Factorize the trinomial on one of the sides of the equation, and simplify the other side.

So, We are given the equation:

- Making it equal to 0, we have:

- Isolating the constant, we have:

- Finding the number that completes the square:

- Adding it to both sides of the equation:

- Factoring and simplifying, we have:

We need to find two numbers which product gives as result "9" and its algebraic sum gives as result "-6", this numbers is "-3", then, factoring, we have:

Then, the equation after completing the square will be:

Hence, the answer is:

C.

Have a nice day!

Option B

Step-by-step explanation:

Given the quadratic equation :

You know that:

Group the variable "x" inside a parentheses:

Then, now you need to add 3² inside the parentheses  and subtract 3² outside of the parentheses. Thenrefore, rewriting, you get:

This matches with the option B.

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3