The first three steps of completing the square to solve a quadratic equation x^2+ 8x+0=0are shown below what are the next three steps

Step-by-step explanation:

x^2 + 8x + 0 = 0

Completing the square just means getting yourself a perfect square trinomial on the left side of your equation. It makes factoring easier for you. The steps are like this:

x² + 8x + 0 = 0 ... take the middle coefficient, 8, divide it by 2, and square it. Same process every time. Divide middle by two, square it. This gives you the "perfect square" of your equation. In this case, 8/2 = 4, and 4² = 16. So what you do is add 16 to BOTH sides of the equation.

x² + 8x + 16 = 16 ... factor the left side

(x + 4)(x + 4) = 16 ... notice that your two factors on the left are identical

(x + 4)² = 16 ... now we want to solve for x. Start by taking the square root of both sides

x + 4 = √16 ... √16 can give us two results: -4 and 4. So solve for both.

x + 4 = 4         x + 4 = -4  ... solve for x

x = 0,              x = -8

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1