Question

X²+ 8x + 16 = 0

Step 1:
a = x
b = 8
C = 16

Plug into quadratic formula:

Step 2: Show work and solve

Step 3: Solution
x = -4
x =

Answer 1

See below

Explanation:

Solution with Quadratic Formula

`x=(-b\pm√(b^2-4ac))/(2a)=(-8\pm√(8^2-4(1)(16)))/(2(1))=(-8\pm√(64-64))/(2)=(-8)/(2)=-4`

Note that
`a=1,b=8,c=16`

Solution with factoring (faster)

`x^2+8x+16=0\\(x+4)^2=0\\x+4=0\\x=-4`

Answer 2

Step 2:
a = 1
b = 8
c = 16

x = (-b ± sqrt(b² - 4ac)) / 2a
x = (-8 ± sqrt(8² - 4*1*16)) / 2*1
x = (-8 ± sqrt(64 - 64)) / 2
x = (-8 ± 0) / 2

Step 3:
x = -4 (one solution)