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0.784x^2-1.136x-2.4=0
a = 0.784; b = -1.136; c = -2.4;
Δ = b2-4ac
Δ = -1.1362-4·0.784·(-2.4)
Δ = 8.816896
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{-(-1.136)-\sqrt{8.816896}}{2*0.784}=\frac{1.136-\sqrt{8.816896}}{1.568} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.136)+\sqrt{8.816896}}{2*0.784}=\frac{1.136+\sqrt{8.816896}}{1.568} $
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