5x2 - 3x - 2 = 0

Delta = b² -4*a*c

Delta = (-3)² -4*5*(-2)

Delta = 9+40

Delta = 49

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

\(x = {-(-3) \pm \sqrt{49} \over 2*5}\)

\(x = {3 \pm 7 \over 10}\)\(x = {10 \over 10} x =1\)

\(x = {3-7 \ \over10} x= {-4 \ \over10} x= {-2\ \over5} \)