Răspuns:
Explicație pas cu pas:
2x^{2} - 7x + 3 = 0 -> a = 2, b = - 7, c = 3
Δ = [tex]b^{2} - 4ac }[/tex]
Δ = (-7)^{2} - 4*2*3 = 49 - 24 = 25 > 0
x_{12} = [tex]\frac{b^{2} +- \sqrt{delta} }{2a}[/tex]
x_{12} = [tex]\frac{-(-7) + - \sqrt{25} }{2 * 2}[/tex]
x_{12} = [tex]\frac{7 + - 5}{4}[/tex]
x_{1} = [tex]\frac{7 + 5}{4} = \frac{12}{4} = 3[/tex]
x_{2} = [tex]\frac{7 - 5}{4} = \frac{2}{4} = \frac{1}{2}[/tex]
Verificare:
2 * 9 - 7 * 3 + 3 = 18 - 21 + 3 = 21 - 21 = 0
2 * 1/4 - 7 * 1/2 + 3 = 1/2 - 7/2 + 3 = -6/2 + 3 = (-6 + 6)/2 = 0/2 = 0
