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12x^2-21x+1=0
a = 12; b = -21; c = +1;
Δ = b2-4ac
Δ = -212-4·12·1
Δ = 393
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-21)-\sqrt{393}}{2*12}=\frac{21-\sqrt{393}}{24} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+\sqrt{393}}{2*12}=\frac{21+\sqrt{393}}{24} $
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