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4.9x^2-30x+40.4=0
a = 4.9; b = -30; c = +40.4;
Δ = b2-4ac
Δ = -302-4·4.9·40.4
Δ = 108.16
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{-(-30)-\sqrt{108.16}}{2*4.9}=\frac{30-\sqrt{108.16}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+\sqrt{108.16}}{2*4.9}=\frac{30+\sqrt{108.16}}{9.8} $
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