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.541x^2-7.8262x+6.76=0
a = .541; b = -7.8262; c = +6.76;
Δ = b2-4ac
Δ = -7.82622-4·.541·6.76
Δ = 46.62076644
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{-(-7.8262)-\sqrt{46.62076644}}{2*.541}=\frac{7.8262-\sqrt{46.62076644}}{1.082} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7.8262)+\sqrt{46.62076644}}{2*.541}=\frac{7.8262+\sqrt{46.62076644}}{1.082} $
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