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8g^2+17g+2=0
a = 8; b = 17; c = +2;
Δ = b2-4ac
Δ = 172-4·8·2
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{225}=15$$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-15}{2*8}=\frac{-32}{16} =-2 $$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+15}{2*8}=\frac{-2}{16} =-1/8 $
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