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x^2-341.8x+29201.64=0
a = 1; b = -341.8; c = +29201.64;
Δ = b2-4ac
Δ = -341.82-4·1·29201.64
Δ = 20.680000000008
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{-(-341.8)-\sqrt{20.680000000008}}{2*1}=\frac{341.8-\sqrt{20.680000000008}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-341.8)+\sqrt{20.680000000008}}{2*1}=\frac{341.8+\sqrt{20.680000000008}}{2} $
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