The discriminant of the equation 4 x² - 5 x - 3 = 0 is

Answers 2

EXPLANATION.

Discriminant of the equation.

⇒ 4x² - 5x - 3 = 0.

As we know that,

D = discriminant Or b² - 4ac.

Using this formula in this equation, we get.

⇒ D = (-5)² - 4(4)(-3).

⇒ D = 25 + 48.

⇒ D = 73.

Discriminant of the equation : 4x² - 5x - 3 = 0 is 73.

                                                                                                                MORE INFORMATION.

Nature of the roots of quadratic expression.

(1) Roots are real and unequal, if b² - 4ac > 0.

(2) Roots are rational and different, if b² - 4ac is a perfect square.

(3) Roots are real and equal, if b² - 4ac = 0.

(4) If D < 0 Roots are imaginary and unequal Or complex conjugate.

Answer:

D=73

Step-by-step explanation:

a=4

b=-5

c=-3

NOW

D=b^2-4(4)(-3)

=-5^2-4*(-12)

=25+48

D=73

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