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33.4x^2-68.8x+34.4=0
a = 33.4; b = -68.8; c = +34.4;
Δ = b2-4ac
Δ = -68.82-4·33.4·34.4
Δ = 137.6
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{-(-68.8)-\sqrt{137.6}}{2*33.4}=\frac{68.8-\sqrt{137.6}}{66.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-68.8)+\sqrt{137.6}}{2*33.4}=\frac{68.8+\sqrt{137.6}}{66.8} $
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