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7000x^2-882.9x-1765.8=0
a = 7000; b = -882.9; c = -1765.8;
Δ = b2-4ac
Δ = -882.92-4·7000·(-1765.8)
Δ = 50221912.41
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{-(-882.9)-\sqrt{50221912.41}}{2*7000}=\frac{882.9-\sqrt{50221912.41}}{14000} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-882.9)+\sqrt{50221912.41}}{2*7000}=\frac{882.9+\sqrt{50221912.41}}{14000} $
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