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6k^2-7k-115=0
a = 6; b = -7; c = -115;
Δ = b2-4ac
Δ = -72-4·6·(-115)
Δ = 2809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{2809}=53$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-53}{2*6}=\frac{-46}{12} =-3+5/6 $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+53}{2*6}=\frac{60}{12} =5 $
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