Question

Can someone please clearly and correctly work out Q19? Would appreciate it a lot! :)

Answer 1

$x^{2} +10x+30$
I always start by moving the last term to the other side
$x^{2} +10x=-30$
To complete the square you take term 'b' , divide it by 2 then square it
$( \frac{10}{2} )^2$ = 25
We have to add 25 to what we have and what you do to one side you have to do to the other
$x^{2} +10x+25=-30+25$
$x^{2} +10x+25=-5$
Now we factor what is on the left side of the equation
$(x+5)^2=-5$
The last step is to move our right side of the equation back over 
$(x+5)^2+5$ - which is your answer :)))