Question

Without solving the equation, determine the nature of the root


`2x^(2) - 4x + 3 = 0`
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Answer 1

Explanation:

`2x { }^(2) - 4x +3 = 0`

from the equation,

a = 2

b = -4

c = 3

using the discriminant :

`b {}^(2) - 4ac` = (-4)² - 4(2)(3)

= 16 - 24

= -8

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