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-4.9x^2+3.34x+8.18=0
a = -4.9; b = 3.34; c = +8.18;
Δ = b2-4ac
Δ = 3.342-4·(-4.9)·8.18
Δ = 171.4836
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{-(3.34)-\sqrt{171.4836}}{2*-4.9}=\frac{-3.34-\sqrt{171.4836}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.34)+\sqrt{171.4836}}{2*-4.9}=\frac{-3.34+\sqrt{171.4836}}{-9.8} $
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