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0=n2+n-1260
We move all terms to the left:
0-(n2+n-1260)=0
We add all the numbers together, and all the variables
-(+n^2+n-1260)+0=0
We add all the numbers together, and all the variables
-(+n^2+n-1260)=0
We get rid of parentheses
-n^2-n+1260=0
We add all the numbers together, and all the variables
-1n^2-1n+1260=0
a = -1; b = -1; c = +1260;
Δ = b2-4ac
Δ = -12-4·(-1)·1260
Δ = 5041
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{5041}=71$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-71}{2*-1}=\frac{-70}{-2} =+35 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+71}{2*-1}=\frac{72}{-2} =-36 $
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