Respuesta :

hello : 
the discriminat of each quadratic equation : ax²+bx+c=0 ....(a ≠ 0) is :
Δ = b² -4ac
1 )  
Δ > 0  the equation has two reals solutions : x =  (-b±√Δ)/2a
2 ) Δ = 0 : one solution : x = -b/2a
3 ) Δ < 0 : no reals solutions
in this exercice :   
2x ² - 3x - 1 = 0....a =2        b =-3        c =-1
calculate : 
Δ ......................................

The correct answer is Option (C):

3 +/- [tex]\sqrt{17}[/tex] / 4

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