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-5x^2-44.7x+50=0
a = -5; b = -44.7; c = +50;
Δ = b2-4ac
Δ = -44.72-4·(-5)·50
Δ = 2998.09
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{-(-44.7)-\sqrt{2998.09}}{2*-5}=\frac{44.7-\sqrt{2998.09}}{-10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44.7)+\sqrt{2998.09}}{2*-5}=\frac{44.7+\sqrt{2998.09}}{-10} $
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