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4.9x^2-38.567x-30=0
a = 4.9; b = -38.567; c = -30;
Δ = b2-4ac
Δ = -38.5672-4·4.9·(-30)
Δ = 2075.413489
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{-(-38.567)-\sqrt{2075.413489}}{2*4.9}=\frac{38.567-\sqrt{2075.413489}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-38.567)+\sqrt{2075.413489}}{2*4.9}=\frac{38.567+\sqrt{2075.413489}}{9.8} $
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