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-4.9x+14.5x^2=0
a = 14.5; b = -4.9; c = 0;
Δ = b2-4ac
Δ = -4.92-4·14.5·0
Δ = 24.01
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{-(-4.9)-\sqrt{24.01}}{2*14.5}=\frac{4.9-\sqrt{24.01}}{29} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4.9)+\sqrt{24.01}}{2*14.5}=\frac{4.9+\sqrt{24.01}}{29} $
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