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4.9x^2-8.2x-6.08=0
a = 4.9; b = -8.2; c = -6.08;
Δ = b2-4ac
Δ = -8.22-4·4.9·(-6.08)
Δ = 186.408
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{-(-8.2)-\sqrt{186.408}}{2*4.9}=\frac{8.2-\sqrt{186.408}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8.2)+\sqrt{186.408}}{2*4.9}=\frac{8.2+\sqrt{186.408}}{9.8} $
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