How do you solve #3x ^ { 2} + n - 44= 0#?

1 Answer
Nov 10, 2017

It is impossible to solve, so the best option is to isolate.

Explanation:

You can't solve this equation because there are two variables.

With more than one variable undefined, there can be an infinite amount of possibilities. E.g.:

#3x^2+n-44=0#

#3(2)^2+(32)-44=0#

#12+32-44=0#

Or we can sub in...

#3x^2+n-44=0#

#3(5)^2+(~31)-44=0#

#75-31-44=0#

As you can see, there is an unlimited amount of variables that we can have. Unless we restrict one of them to a set value, then it is impossible to solve. The only thing we can do is to isolate and solve for that.

However, solving implies we determine the exact value of a variable, in which we can't do that here.

If we were to isolate, it would be like this:

#3x^2+n-44=0#

#3x^2=44-n#

#x^2=(n-44)/3#

#x=((n-44)/3)^2#

And for #n#...

#3x^2+n-44=0#

#3x^2+n=44#

#n=44-3x^2#

Hope this helps :)