Question 245946
you should only have one problem per entry.
Sqrt is the symbol for square root
So you should have plus or minus Sqrt (2/3) is correct


x^2+7=3x
Now so far all I have done is taken 3x from both sides
which brings us to
x^2-3x+7=0
At this point I am lost. Because normally I would think we would do this but I can't find anything to add up to equal 3
so you have to use another method
the quadratic formula or complete the square
I will show you complete the square.
so we rearrange the equation.
x^2-3x=-7
take half of -3 and square it
(3/2)^2=9/4
add 9/4 to both sides

x^2-3x+9/4=-28/4+(9/4)=-19/4
X^2-3x+9/4=-19/4

factor the left side
(x-3/2)^2=-19/4
now we see we will be dealing with imaginary numbers since we need to get the sqrt of a minus number
get he sqrt of both sides
|x-3/2|=(i*sqrt(19))/2

x=3/2+-(i*sqrt(19))/2

x=1/2(3-i*sqrt19)

x=1/2(3+i*sqrt19)