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53.3x^2-76.62x+26.117=0
a = 53.3; b = -76.62; c = +26.117;
Δ = b2-4ac
Δ = -76.622-4·53.3·26.117
Δ = 302.48
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{-(-76.62)-\sqrt{302.48}}{2*53.3}=\frac{76.62-\sqrt{302.48}}{106.6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-76.62)+\sqrt{302.48}}{2*53.3}=\frac{76.62+\sqrt{302.48}}{106.6} $
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