Complete the square x^2-12x+32=4

Step 1) Move all constants to the right side, leaving all of the terms with variables on the left side

x^2 - 12x = -28

Step 2) Find a number that would create a perfect square trinomial on the left side. For this problem, that would be 36. So, we need to add 36 to the left and right sides.

x^2 - 12x + 36 = -28 + 36

x^2 - 12x + 36 = 8

Step 3) Rewrite the perfect square trinomial on the left, so it only has two terms (becomes the square of itself)

(x - 6)^2 = 8

Step 4) Take the square root of both sides - remember that it is plus/minus because of the square!

x - 6 = ±

x - 6 = ±

Step 5) Find the two solutions of x

x = 6 +

x = -6 +

Hope this helps! :)

b

step-by-step explanation:

the word superfluous means unnecessary

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)