1250=x(x+10)/2

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Solution for 1250=x(x+10)/2 equation:



1250=x(x+10)/2
We move all terms to the left:
1250-(x(x+10)/2)=0
We multiply all the terms by the denominator
-(x(x+10)+1250*2)=0
We calculate terms in parentheses: -(x(x+10)+1250*2), so:
x(x+10)+1250*2
We add all the numbers together, and all the variables
x(x+10)+2500
We multiply parentheses
x^2+10x+2500
Back to the equation:
-(x^2+10x+2500)
We get rid of parentheses
-x^2-10x-2500=0
We add all the numbers together, and all the variables
-1x^2-10x-2500=0
a = -1; b = -10; c = -2500;
Δ = b2-4ac
Δ = -102-4·(-1)·(-2500)
Δ = -9900
Delta is less than zero, so there is no solution for the equation

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