Question

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

Answer 1

EXPLANATION.

Quadratic equation.

⇒ 2x² - 4x + 3 = 0.

As we know that,

⇒ D = Discriminant Or b² - 4ac.

⇒ D = (-4)² - 4(2)(3).

⇒ D = 16 - 24.

⇒ D = -8.

Nature of the roots are imaginary : D < 0.

                                                                                                                       

MORE INFORMATION.

Conjugate roots.

(1) = If D < 0.

One roots = α + iβ.

Other roots = α - iβ.

(2) = If D > 0.

One roots = α + √β.

Other roots = α - √β.

Answer 2

Answer:

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Quadratic equation.

$\implies$ 2x² - 4x + 3 = 0.

As we know that,

$\implies$ D = b² - 4ac.

$\implies$ D = (-4)² - 4(2)(3).

$\implies$ D = 16 - 24.

$\implies$D = -8.

Nature of the roots are imaginary : D < 0.