Question

find the discriminant of the quadratic equation 3 x square - 6 x minus 4 equal to zero and hence find nature of its roots​

Answer 1

Answer:

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Answer 2

The value of discriminant, D = 84 and the nature of the roots are real and unequal.

Step-by-step explanation:

The quadratic equation:

$3x^2-6x-4=0$

Here, a = 3, b = - 6  and c = - 4

To find, the value of discriminant = ?

Also, the nature of roots = ?

We know that,

Discriminant , D

= $b^{2} -4ac$

= $(-6)^{2} -4(3)(-4)$

= 36 + 12(4)

= 36 + 48

= 84

∴ The value of discriminant, D = 84

D > 0, the roots are real and unequal.

Thus, the value of discriminant, D = 84 and the nature of the roots are real and unequal.