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41.46x-15.625x^2-12.5=0
a = -15.625; b = 41.46; c = -12.5;
Δ = b2-4ac
Δ = 41.462-4·(-15.625)·(-12.5)
Δ = 937.6816
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{-(41.46)-\sqrt{937.6816}}{2*-15.625}=\frac{-41.46-\sqrt{937.6816}}{-31.25} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(41.46)+\sqrt{937.6816}}{2*-15.625}=\frac{-41.46+\sqrt{937.6816}}{-31.25} $
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