ANSWER
Step-by-step explanation
We want to put the equation given in vertex form:
The vertex form of a quadratic equation is:
The first step is to subtract 17 from both sides of the equation:
The next step is to complete the square of the expression on the right-hand side:
Note: 12 is added to the left side of the equation because it was added to the right side to complete the square.
Now, factorize the right-hand side:
Finally, add 5 to both sides of the equation:
That is the vertex form of the equation.