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-0.34694x^2-116x+3364=0
a = -0.34694; b = -116; c = +3364;
Δ = b2-4ac
Δ = -1162-4·(-0.34694)·3364
Δ = 18124.42464
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{-(-116)-\sqrt{18124.42464}}{2*-0.34694}=\frac{116-\sqrt{18124.42464}}{-0.69388} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-116)+\sqrt{18124.42464}}{2*-0.34694}=\frac{116+\sqrt{18124.42464}}{-0.69388} $
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