12n^2-51n+45=0

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Solution for 12n^2-51n+45=0 equation:



12n^2-51n+45=0
a = 12; b = -51; c = +45;
Δ = b2-4ac
Δ = -512-4·12·45
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-51)-21}{2*12}=\frac{30}{24} =1+1/4 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-51)+21}{2*12}=\frac{72}{24} =3 $

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