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-g2+8g+5=0
We add all the numbers together, and all the variables
-1g^2+8g+5=0
a = -1; b = 8; c = +5;
Δ = b2-4ac
Δ = 82-4·(-1)·5
Δ = 84
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}$$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{84}=\sqrt{4*21}=\sqrt{4}*\sqrt{21}=2\sqrt{21}$$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-2\sqrt{21}}{2*-1}=\frac{-8-2\sqrt{21}}{-2} $$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+2\sqrt{21}}{2*-1}=\frac{-8+2\sqrt{21}}{-2} $
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