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9k^2-78k-27=0
a = 9; b = -78; c = -27;
Δ = b2-4ac
Δ = -782-4·9·(-27)
Δ = 7056
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{7056}=84$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-78)-84}{2*9}=\frac{-6}{18} =-1/3 $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-78)+84}{2*9}=\frac{162}{18} =9 $
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