210=c+10+c2+c

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Solution for 210=c+10+c2+c equation:



210=c+10+c2+c
We move all terms to the left:
210-(c+10+c2+c)=0
We add all the numbers together, and all the variables
-(+2c+c^2+10)+210=0
We get rid of parentheses
-c^2-2c-10+210=0
We add all the numbers together, and all the variables
-1c^2-2c+200=0
a = -1; b = -2; c = +200;
Δ = b2-4ac
Δ = -22-4·(-1)·200
Δ = 804
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{804}=\sqrt{4*201}=\sqrt{4}*\sqrt{201}=2\sqrt{201}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{201}}{2*-1}=\frac{2-2\sqrt{201}}{-2} $
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{201}}{2*-1}=\frac{2+2\sqrt{201}}{-2} $

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