What number should be added to both sides of the equation to complete the square? x2 + 12x = 11

For this case we have a polynomial of the form:

To complete the square, we must add on both sides of the equation a term of the form:

Where,

b: coefficient of the exponent term equal to 1

We have then that for this case, completing squares:

Rewriting we have:

The number that should be added to both sides of the equation to complete the square is:

36

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6