Question

Solve the equation by completing the square.
2x^2 + 16x = -14
x= (smaller value)
x= (larger value)

Answer 1

first off if you are going to complete the square best divide by 2. you get
\[x^2+8x=-7\]

Answer 2

then work as follows. half of 8 is 4 so write
\[(x+4)^2=-7+4^2\]
\[(x+4)^2=9\]

Answer 3

then take the square root of both sides. dont forget plus and minus
\[x+4=3\]
or
\[x+4=-3\]

Answer 4

then solve for x to get
\[x=-1,x=-7\]

Answer 5

for your answer it is smaller value is -7, larger is -1