Question

calculate the discriminant of the quadratic equation 2x square - 4x + 3 = 0​

Answer 1

Given Quadratic equation → 2x² - 4x + 3 = 0

For finding the discriminant, we use the below mentioned formula:

D = b² - 4ac

where:

• b = -4
• a = 2
• c = 3

Substitute the above values in the given formula.

D = b² - 4ac

⇒ D = (-4)² - 4(2)(3)

⇒ D = 16 - 24

⇒ D = -8

Since D < 0, the given Quadratic equation has no real roots.

KNOW MORE:

• If D > 0, the Equation would have 2 real and unequal roots.
• If D = 0, the Equation would have 2 roots which are equal.