Solve the quadratic equation by completing the square. x^2+16x+57=0

Question

anonymous · Answer

First, choose the appropriate form and fill in the blanks with the correct numbers. 
Then, solve the equation. Round your answer to the nearest hundredth. 
If there is more than one solution, separate them with commas.

FORMS:
A. (x+?)^2 = 0
B. (x-?)^2 = 0

triciaal · Answer

do you know what is meant by a "perfect square?"

anonymous · Answer

It doesn't say perfect square.

triciaal · Answer

I know  that is the idea 
(a + b)^2 = (a + b)(a + b) = a^2 + 2ab + b^2

triciaal · Answer

you want to get in this format and that is why it is called "completing-the-square"

triciaal · Answer

here are some basic steps 
with the equation in standard form a x^2 + bx + c = 0
divide everything by a 
subtract c
find 1/2 of b then square (x +b)  notice you will have b^2 added on the left so subtract and keep the balance  (or you can add to the other side in one step) 
you should have (x + b/2)^2 = -c + (b/2)^2

triciaal · Answer

do you understand so far? can you continue?

triciaal · Answer

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