5x^2-3x+1=0

$$\underbrace{5}_{a=5}x^2\underbrace{-3}_{b=-3}x\underbrace{+1}_{c=1}=0 \quad ?$$

$$discriminant = b^2-4ac =(-3)^2-4*5*1=9-20=-11$$

$$\textcolor[rgb]{1,0,0}{discriminant < 0\qquad \mbox{no real solution}}$$

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