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21+-31n+8n^2=0
We add all the numbers together, and all the variables
8n^2-31n=0
a = 8; b = -31; c = 0;
Δ = b2-4ac
Δ = -312-4·8·0
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{961}=31$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-31}{2*8}=\frac{0}{16} =0 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+31}{2*8}=\frac{62}{16} =3+7/8 $
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