How do you solve this eqution ? 3-\sqrt {3n^{2}+n-3}=n+1

1 Answer
Jun 3, 2017

Assumption: The question should be:
" " 3-sqrt(3n^2+n-3)=n+1

Taken to a point where you should be able to finish it off.

Explanation:

3-n-1=sqrt(3n^2+n-3)

Square both sides

(2-n)^2=3n^2+n-3

4-4n+n^2=3n^2+n-3

2n^2+5n-7=0

Using standard form y=an^2+bn+c

Where" "a=2"; "b=5"; "c=-7

and n= (-b+-sqrt(b^2-4ac))/(2a)

=>n" "=" "(-5+-sqrt(5^2-4(2)(-7)))/(2(2))

n" "=" "-5/4+-sqrt(25+56)/4

I will let you finish this off.