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-4.9x^2+27x-2.4=0
a = -4.9; b = 27; c = -2.4;
Δ = b2-4ac
Δ = 272-4·(-4.9)·(-2.4)
Δ = 681.96
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{-(27)-\sqrt{681.96}}{2*-4.9}=\frac{-27-\sqrt{681.96}}{-9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(27)+\sqrt{681.96}}{2*-4.9}=\frac{-27+\sqrt{681.96}}{-9.8} $
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