The first three steps of completing the square to solve the quadratic equation x^2 + 8x +5 = 0, are shown below. step 1: x^ + 8x= -5 step 2: x^2 + 8x + 16 = -5 + 16 step 3: (x + 4)^2 = 11 what are the next 3 steps?

see explanation

Step-by-step explanation:

step 4 take the square root of both sides

= ±

x + 4 = ±

step 5 subtract 4 from both sides

x = - 4 ±

step 6 solve for x

x = - 4 - or x = - 4 +

4.  Take the square root of each side

5.  Subtract 4 from each side

6.  Give the positive and negative answer

Step-by-step explanation:

Step 1: x^ + 8x= -5

Step 2: x^2 + 8x + 16 = -5 + 16

Step 3: (x + 4)^2 = 11

Take the square root of each side:  sqrt((x+4)^2) = ±sqrt(11)

                                                                   x+4  = ±sqrt(11)

Subtract 4 from each side                         x+4-4 = -4 ±sqrt(11)

                                                                         x = -4 ±sqrt(11)

List both answers           x = -4+sqrt(11), x= -4-sqrt(11)

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

y=x+9

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step-by-step explanation: