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x^2-138x+4.761=0
a = 1; b = -138; c = +4.761;
Δ = b2-4ac
Δ = -1382-4·1·4.761
Δ = 19024.956
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{-(-138)-\sqrt{19024.956}}{2*1}=\frac{138-\sqrt{19024.956}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-138)+\sqrt{19024.956}}{2*1}=\frac{138+\sqrt{19024.956}}{2} $
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