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=20C+C2/5
We move all terms to the left:
-(20C+C2/5)=0
We add all the numbers together, and all the variables
-(+20C+C2/5)=0
We get rid of parentheses
-20C-C2/5=0
We multiply all the terms by the denominator
-20C*5-C2=0
We add all the numbers together, and all the variables
-1C^2-20C*5=0
Wy multiply elements
-1C^2-100C=0
a = -1; b = -100; c = 0;
Δ = b2-4ac
Δ = -1002-4·(-1)·0
Δ = 10000
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}$$C_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{10000}=100$$C_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-100}{2*-1}=\frac{0}{-2} =0 $$C_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+100}{2*-1}=\frac{200}{-2} =-100 $
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