* 2x² - 5x = 3 /-3
2x² - 5x - 3 = 0
a = 2
b = -5
c = -3
Δ = b² - 4ac
Δ = (-5)² - 4 · 2 · (-3)
Δ = 25 - (-24) = 49
x₁ = [tex]\frac{-b+ \sqrt{delta} }{2a}= \frac{-(-5)+ \sqrt{49} }{2*2} = \frac{12}{4} =3[/tex]
x₂ = [tex]\frac{-b- \sqrt{delta} }{2a}= \frac{-(-5)- \sqrt{49} }{2*2} = \frac{5-7}{4}=- \frac{1}{2} [/tex]
/robertinni
