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(x^2)-185x-4650=0
a = 1; b = -185; c = -4650;
Δ = b2-4ac
Δ = -1852-4·1·(-4650)
Δ = 52825
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{52825}=\sqrt{25*2113}=\sqrt{25}*\sqrt{2113}=5\sqrt{2113}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-185)-5\sqrt{2113}}{2*1}=\frac{185-5\sqrt{2113}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-185)+5\sqrt{2113}}{2*1}=\frac{185+5\sqrt{2113}}{2} $
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