Question

Find the discriminant of the quadratic equation 3 x square - 8 x minus 3 is equal to zero

Answer 1

Step-by-step explanation:

3x^2 -8 x - 3 = 0

Diacriminat = b^2-4ac

Comparing the eq. with

ax^2 + bx + c = 0

So,

a = 3, b = -8 and c = -3

D = b^2 -4ac

= (-8)^2 - 4 (3)(-3)

=64 + 36

= 100

So, b^2-4ac = 100

Answer 2

Answer:

100 is the discriminant of the given quadratic equation .

Step-by-step explanation:

Explanation:

Given , $3x^{2} - 8x-3 = 0$  

The discriminant determines the nature of roots of the quadratic equation based on the coefficients of quadratic equation .

For a quadratic equation of the form $ax^{2} +bx +c = 0$,

So, discriminant is $b^{2} - 4ac$ .

Step1:

We have , $3x^{2} - 8x-3 = 0$

Now compare the given equation  with $ax^{2} +bx +c = 0$ .

So , a = 3  , b = -8 and c =-3

Therefore , Discriminant  = $b^{2} - 4ac$

                                         = $(-8)^{2} - 4 (3)(-3)$

⇒Discriminant = 64 + 36 = 100.

Final answer :

Hence , the discriminant of the given quadratic equation is 100.