SOLUTION: Professor I have a question on quadratic formulas. My problem is 3nē=-6n-1 and I got an answer of -6+2√6/6 .Now I know I can divide by 2 but I do I divide the bottom as well

Algebra ->  Test -> SOLUTION: Professor I have a question on quadratic formulas. My problem is 3nē=-6n-1 and I got an answer of -6+2√6/6 .Now I know I can divide by 2 but I do I divide the bottom as well       Log On


   

Question 652142: Professor I have a question on quadratic formulas. My problem is 3nē=-6n-1 and I got an answer of -6+2√6/6 .Now I know I can divide by 2 but I do I divide the bottom as well so my answer would be, -3+√6/3, -3-√6/3? Thank you!!!!!
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
3n%5E2=-6n-1
3n%5E2%2B6n%2B1=0...use quadratic formula to solve for n
n+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+...note that a=3, b=6 and c=1

n+=+%28-6+%2B-+sqrt%28+6%5E2-4%2A3%2A1+%29%29%2F%282%2A3%29+
n+=+%28-6+%2B-+sqrt%2836-12+%29%29%2F6+
n+=+%28-6+%2B-+sqrt%2824+%29%29%2F6+

n+=+%28-6+%2B-+4.898979%29%2F6+
solutions:
n+=+%28-6+%2B+4.898979%29%2F6+
n+=+-1.101021%2F6+
highlight%28n+=+-0.1835035%29+
or
n+=+%28-6+-+4.898979%29%2F6+
n+=+-10.898979%2F6+
highlight%28n+=+-1.8164965%29+