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without solving the equation, determine the nature of the root
[tex]2x^{2} - 4x + 3 = 0[/tex]


Sagot :

Step-by-step explanation:

[tex]2x { }^{2} - 4x +3 = 0[/tex]

from the equation,

a = 2

b = -4

c = 3

using the discriminant :

[tex]b {}^{2} - 4ac[/tex] = (-4)² - 4(2)(3)

= 16 - 24

= -8

since the discriminant, b² - 4ac < 0, the equation has no real roots/ has imaginary roots.