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-4.9x^2+12x-4.9=0
a = -4.9; b = 12; c = -4.9;
Δ = b2-4ac
Δ = 122-4·(-4.9)·(-4.9)
Δ = 47.96
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{-(12)-\sqrt{47.96}}{2*-4.9}=\frac{-12-\sqrt{47.96}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+\sqrt{47.96}}{2*-4.9}=\frac{-12+\sqrt{47.96}}{-9.8} $
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