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y^2-118y-2700=0
a = 1; b = -118; c = -2700;
Δ = b2-4ac
Δ = -1182-4·1·(-2700)
Δ = 24724
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{24724}=\sqrt{4*6181}=\sqrt{4}*\sqrt{6181}=2\sqrt{6181}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-118)-2\sqrt{6181}}{2*1}=\frac{118-2\sqrt{6181}}{2} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-118)+2\sqrt{6181}}{2*1}=\frac{118+2\sqrt{6181}}{2} $
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