x^2-6x+9=5

Question

complete the square using the square root property

Answer 1

here is how you proceed to complete the square on this equation (means to make the expression that involve x a complete square. also means to know how much you need to add to BOTH sides of the equation to make it a complete square if it is NOT ALREADY a complete square)

first look for x (not x² ) and read its coefficient (means the number that is multipled by x) which is -6

second take half this number -6/2 which is -3

third square the result (-3)² which is 9

Now you can see that there is already 9 on the right side of the given equation, so there is no need to add 9 to BOTH sides! and that means the right side is already a complete square and so we can write it like follows:

                                                               (x-3)² = 5

(note that x is the square root of x² and - sign is the sign of the term that invole x and 3 is the square root of 9 - the number that make the right side a complete square)