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-4.9X^2+23.8X=0
a = -4.9; b = 23.8; c = 0;
Δ = b2-4ac
Δ = 23.82-4·(-4.9)·0
Δ = 566.44
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{-(23.8)-\sqrt{566.44}}{2*-4.9}=\frac{-23.8-\sqrt{566.44}}{-9.8} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(23.8)+\sqrt{566.44}}{2*-4.9}=\frac{-23.8+\sqrt{566.44}}{-9.8} $
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