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x2+200x=166.400
We move all terms to the left:
x2+200x-(166.400)=0
We add all the numbers together, and all the variables
x2+200x-(166.4)=0
We add all the numbers together, and all the variables
x^2+200x-166.4=0
a = 1; b = 200; c = -166.4;
Δ = b2-4ac
Δ = 2002-4·1·(-166.4)
Δ = 40665.6
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{-(200)-\sqrt{40665.6}}{2*1}=\frac{-200-\sqrt{40665.6}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(200)+\sqrt{40665.6}}{2*1}=\frac{-200+\sqrt{40665.6}}{2} $
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