Question

Y+x^2=16x-100 complete the square

Answer 1

First, we need to move the constant term to the other side of the equation:

y + x^2 - 16x = -100

Next, we need to "complete the square" by adding and subtracting a constant term that will allow us to write the left-hand side of the equation as a perfect square. To do this, we need to take half of the coefficient of the x-term (-16), square it, and add that to both sides of the equation:

y + x^2 - 16x + 64 = -36 + 64

Now, we can simplify the left-hand side by factoring it as a perfect square:

(y + (x - 8)^2) = 28

So the equation, in completed square form, is:

y + (x - 8)^2 = 28

Explanation:

gg