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-4.9x^2-25.5x+4=0
a = -4.9; b = -25.5; c = +4;
Δ = b2-4ac
Δ = -25.52-4·(-4.9)·4
Δ = 728.65
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{-(-25.5)-\sqrt{728.65}}{2*-4.9}=\frac{25.5-\sqrt{728.65}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25.5)+\sqrt{728.65}}{2*-4.9}=\frac{25.5+\sqrt{728.65}}{-9.8} $
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