What number must you add to complete the square? x2 + 2x = 13

The answer is 1

Step-by-step explanation:

In order to complete the square, you have to know the rule for expanding a square of a binomial.

The rule says:

Let a square of a binomial in general

The square of any binomial produces the following three terms:

1.   The square of the first term of the binomial:

2.   Twice the product of the two terms:  

3.   The square of the second term:

So, the expand of a square of a binomial is:

Therefore, we should think which of the three terms mentioned before it is absent.

1. First term is

2. Second term is

3. Third term must be because it is the unique number which multiplying by results in

Finally, adding 1 in both side of the equation:

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2