use the quadratic equation x^2-22x=75 to answer the following question
Part B - rewrite the equation in the form (x - h)^2 + k = 0
To rewrite the equation x^2 - 22x = 75 in the form (x - h)^2 + k = 0, we need to complete the square.
First, let's isolate the variable terms on one side:
x^2 - 22x = 75
To complete the square, we need to add (22/2)^2 = 121 to both sides:
x^2 - 22x + 121 = 75 + 121
x^2 - 22x + 121 = 196
Now, rewrite the left side as a perfect square:
(x - 11)^2 = 196
We can now write the equation in the desired form:
(x - 11)^2 - 196 = 0