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x^2+36.264x=386981
We move all terms to the left:
x^2+36.264x-(386981)=0
a = 1; b = 36.264; c = -386981;
Δ = b2-4ac
Δ = 36.2642-4·1·(-386981)
Δ = 1549239.0777
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{-(36.264)-\sqrt{1549239.0777}}{2*1}=\frac{-36.264-\sqrt{1549239.0777}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36.264)+\sqrt{1549239.0777}}{2*1}=\frac{-36.264+\sqrt{1549239.0777}}{2} $
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