600=x*(x+1)/2

Solution for 600=x*(x+1)/2 equation:

600=x(x+1)/2

We move all terms to the left:

600-(x(x+1)/2)=0

We multiply all the terms by the denominator


-(x(x+1)+600*2)=0


We calculate terms in parentheses: -(x(x+1)+600*2), so:

x(x+1)+600*2

We add all the numbers together, and all the variables

x(x+1)+1200

We multiply parentheses

x^2+x+1200

Back to the equation:

-(x^2+x+1200)


We get rid of parentheses

-x^2-x-1200=0

We add all the numbers together, and all the variables

-1x^2-1x-1200=0

a = -1; b = -1; c = -1200;
Δ = b2-4ac
Δ = -12-4·(-1)·(-1200)
Δ = -4799
Delta is less than zero, so there is no solution for the equation