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

`( (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 :)))