Rewrite the equation by completing the square.
x² + 4x = 0

(x+2)^2 = 4

Step-by-step explanation:

x² + 4x = 0

Take the coefficient of the x term

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2+4x+4 = 0+4

(x+4/2)^2 = 4

(x+2)^2 = 4

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.