Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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.