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X(663.26-0.255X)=1000
We move all terms to the left:
X(663.26-0.255X)-(1000)=0
We add all the numbers together, and all the variables
X(-0.255X+663.26)-1000=0
We multiply parentheses
0X^2+663.26X-1000=0
We add all the numbers together, and all the variables
X^2+663.26X-1000=0
a = 1; b = 663.26; c = -1000;
Δ = b2-4ac
Δ = 663.262-4·1·(-1000)
Δ = 443913.8276
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(663.26)-\sqrt{443913.8276}}{2*1}=\frac{-663.26-\sqrt{443913.8276}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(663.26)+\sqrt{443913.8276}}{2*1}=\frac{-663.26+\sqrt{443913.8276}}{2} $
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