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0.000064x^2-53.173x+488.36=0
a = 0.000064; b = -53.173; c = +488.36;
Δ = b2-4ac
Δ = -53.1732-4·0.000064·488.36
Δ = 2827.24290884
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{-(-53.173)-\sqrt{2827.24290884}}{2*0.000064}=\frac{53.173-\sqrt{2827.24290884}}{0.000128} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-53.173)+\sqrt{2827.24290884}}{2*0.000064}=\frac{53.173+\sqrt{2827.24290884}}{0.000128} $
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