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6n^2-60n+126=0
a = 6; b = -60; c = +126;
Δ = b2-4ac
Δ = -602-4·6·126
Δ = 576
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{576}=24$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-24}{2*6}=\frac{36}{12} =3 $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+24}{2*6}=\frac{84}{12} =7 $
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