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515x-7500-x^2=0
We add all the numbers together, and all the variables
-1x^2+515x-7500=0
a = -1; b = 515; c = -7500;
Δ = b2-4ac
Δ = 5152-4·(-1)·(-7500)
Δ = 235225
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{235225}=485$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(515)-485}{2*-1}=\frac{-1000}{-2} =+500 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(515)+485}{2*-1}=\frac{-30}{-2} =+15 $
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