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-x^2+385x-12250=0
We add all the numbers together, and all the variables
-1x^2+385x-12250=0
a = -1; b = 385; c = -12250;
Δ = b2-4ac
Δ = 3852-4·(-1)·(-12250)
Δ = 99225
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{99225}=315$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(385)-315}{2*-1}=\frac{-700}{-2} =+350 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(385)+315}{2*-1}=\frac{-70}{-2} =+35 $
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