Question

X2 + 8x + 19 = 0 What is the equivilent that results from completing the square?

Answer 1

Answer:

$(x+4)^2+3=0$

Step-by-step explanation:

Hey there!

Standard form is what this equation is in

Standard form is this: $ax^2+bx+c$

So order to complete the square, you need to take the $b$ term out of the equation, divide it by two, and then square it

In this case, the $b$ term is 8

We need to divide 8 by 2 ---> 4

Then square 4 ---> 16

So now you should add 16 to both sides

$x^2+8x+16+19=16$

Now you can simplify the LHS

$(x+4)^2 +19=16$

Now you subtract 16 from both sides

$(x+4)^2+3=0$

So this is as far as you can go since you cannot take the square root of a negative number