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8k^2-71k-9=0
a = 8; b = -71; c = -9;
Δ = b2-4ac
Δ = -712-4·8·(-9)
Δ = 5329
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{5329}=73$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-71)-73}{2*8}=\frac{-2}{16} =-1/8 $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-71)+73}{2*8}=\frac{144}{16} =9 $
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