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x^2-6.6986x-74858.0269=0
a = 1; b = -6.6986; c = -74858.0269;
Δ = b2-4ac
Δ = -6.69862-4·1·(-74858.0269)
Δ = 299476.978842
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{-(-6.6986)-\sqrt{299476.978842}}{2*1}=\frac{6.6986-\sqrt{299476.978842}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.6986)+\sqrt{299476.978842}}{2*1}=\frac{6.6986+\sqrt{299476.978842}}{2} $
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