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210=n^2-n
We move all terms to the left:
210-(n^2-n)=0
We get rid of parentheses
-n^2+n+210=0
We add all the numbers together, and all the variables
-1n^2+n+210=0
a = -1; b = 1; c = +210;
Δ = b2-4ac
Δ = 12-4·(-1)·210
Δ = 841
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{841}=29$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-29}{2*-1}=\frac{-30}{-2} =+15 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+29}{2*-1}=\frac{28}{-2} =-14 $
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