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-x^2+580x-16500=0
We add all the numbers together, and all the variables
-1x^2+580x-16500=0
a = -1; b = 580; c = -16500;
Δ = b2-4ac
Δ = 5802-4·(-1)·(-16500)
Δ = 270400
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{270400}=520$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(580)-520}{2*-1}=\frac{-1100}{-2} =+550 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(580)+520}{2*-1}=\frac{-60}{-2} =+30 $
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