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2.7x^2-11.8x+9.828=0
a = 2.7; b = -11.8; c = +9.828;
Δ = b2-4ac
Δ = -11.82-4·2.7·9.828
Δ = 33.0976
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{-(-11.8)-\sqrt{33.0976}}{2*2.7}=\frac{11.8-\sqrt{33.0976}}{5.4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11.8)+\sqrt{33.0976}}{2*2.7}=\frac{11.8+\sqrt{33.0976}}{5.4} $
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