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6n^2+2n-400=0
a = 6; b = 2; c = -400;
Δ = b2-4ac
Δ = 22-4·6·(-400)
Δ = 9604
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{9604}=98$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-98}{2*6}=\frac{-100}{12} =-8+1/3 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+98}{2*6}=\frac{96}{12} =8 $
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