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-x^2+350x+15000=0
We add all the numbers together, and all the variables
-1x^2+350x+15000=0
a = -1; b = 350; c = +15000;
Δ = b2-4ac
Δ = 3502-4·(-1)·15000
Δ = 182500
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{182500}=\sqrt{2500*73}=\sqrt{2500}*\sqrt{73}=50\sqrt{73}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(350)-50\sqrt{73}}{2*-1}=\frac{-350-50\sqrt{73}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(350)+50\sqrt{73}}{2*-1}=\frac{-350+50\sqrt{73}}{-2} $
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