91=(n^2+n)/2

Solution for 91=(n^2+n)/2 equation:

91=(n^2+n)/2

We move all terms to the left:

91-((n^2+n)/2)=0

We multiply all the terms by the denominator


-((n^2+n)+91*2)=0


We calculate terms in parentheses: -((n^2+n)+91*2), so:

(n^2+n)+91*2

We add all the numbers together, and all the variables

(n^2+n)+182

We get rid of parentheses

n^2+n+182

Back to the equation:

-(n^2+n+182)


We get rid of parentheses

-n^2-n-182=0

We add all the numbers together, and all the variables

-1n^2-1n-182=0

a = -1; b = -1; c = -182;
Δ = b2-4ac
Δ = -12-4·(-1)·(-182)
Δ = -727
Delta is less than zero, so there is no solution for the equation