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8k^2-17k-21=0
a = 8; b = -17; c = -21;
Δ = b2-4ac
Δ = -172-4·8·(-21)
Δ = 961
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{961}=31$$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-31}{2*8}=\frac{-14}{16} =-7/8 $$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+31}{2*8}=\frac{48}{16} =3 $
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