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(x)=-10x^2+1760x-50.000
We move all terms to the left:
(x)-(-10x^2+1760x-50.000)=0
We get rid of parentheses
10x^2-1760x+x+50.000=0
We add all the numbers together, and all the variables
10x^2-1759x+50=0
a = 10; b = -1759; c = +50;
Δ = b2-4ac
Δ = -17592-4·10·50
Δ = 3092081
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{-(-1759)-\sqrt{3092081}}{2*10}=\frac{1759-\sqrt{3092081}}{20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1759)+\sqrt{3092081}}{2*10}=\frac{1759+\sqrt{3092081}}{20} $
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