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-x^2-73x+520=0
We add all the numbers together, and all the variables
-1x^2-73x+520=0
a = -1; b = -73; c = +520;
Δ = b2-4ac
Δ = -732-4·(-1)·520
Δ = 7409
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{-(-73)-\sqrt{7409}}{2*-1}=\frac{73-\sqrt{7409}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+\sqrt{7409}}{2*-1}=\frac{73+\sqrt{7409}}{-2} $
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