Resposta:
Explicação passo a passo:
[tex]5x^{2} -3x-2=0[/tex]
[tex]a=5[/tex]
[tex]b=-3[/tex]
[tex]c=-2[/tex]
Δ = [tex]b^{2} -4.a.c[/tex]
Δ = [tex](-3)^{2} -4.(5).(-2)[/tex]
Δ = [tex]9+40[/tex]
Δ = [tex]49[/tex]
x = ( - b ± √Δ ) / 2a
x = ( 3 ± √49 ) / 10
x = ( 3 ± 7 ) / 10
x' = ( 3 + 7 ) / 10
x' = 10 / 10
x' = 1
x'' = ( 3 - 7 ) / 10
x'' = ( - 4 ) / 10
x'' = - 2 / 5
S = ( 1 ; - 2/5 }
