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1.9x^2-340.5x+3850=0
a = 1.9; b = -340.5; c = +3850;
Δ = b2-4ac
Δ = -340.52-4·1.9·3850
Δ = 86680.25
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{-(-340.5)-\sqrt{86680.25}}{2*1.9}=\frac{340.5-\sqrt{86680.25}}{3.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-340.5)+\sqrt{86680.25}}{2*1.9}=\frac{340.5+\sqrt{86680.25}}{3.8} $
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