Question

6.
Discriminant of the equation – 3x2 + 2x – 8=0 is
(A)-92
(B) – 29
(C) 39
(D) 49
Please give urgently​

Answer 1

EXPLANATION.

Discriminant of the equation.

⇒ F(x) = -3x² + 2x - 8 = 0.

As we know that,

Discriminant = D.

⇒ D = 0  Or b² - 4ac = 0.

⇒ D = (2)² - 4(-3)(-8).

⇒ D = 4 - 96.

⇒ D = -92.

Option [A] is correct answer.

                                                                                     

MORE INFORMATION.

Nature of factor of quadratic expression.

(1) = Real and different, if b² - 4ac > 0.

(2) = Rational and different, if b² - 4ac is a perfect square.

(3) = Real and equal, if b² - 4ac = 0.

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

Answer 2

Answer:

Given :-

• Discriminate of the equation is - 3x² + 2x - 8 = 0.

To Find :-

• What is the value of that discriminate.

Solution :-

Given equation :

➠ - 3x² + 2x - 8 = 0

As we know that,

✯ Discriminate = b² - 4ac = 0 ✯

➙ - 3x² + 2x - 8 = 0

where,

● a = - 3

● b = 2

● c = - 8

According to the question by using the formula we get,

⇒ Discriminate = (2)² - 4(- 3)(- 8)

⇒ Discriminate = 4 - 4(24)

⇒ Discriminate = 4 - 96

⇒ Discriminate = - 92

➦ Discriminate = - 92

∴ The discriminate of the equation - 3x² + 2x - 8 = 0 is - 92 . Hence, the correct options is option no (A) - 92.

➲ EXTRA INFORMATION :-

The two roots of the quadratic equation ax² + bx + c = 0 [a ≠ 0].

(1) Real and equal = b² - 4ac = 0

(2) Real and unequal = b² - 4ac > 0

(3) No equal roots = b² - 4ac < 0

➲ NEGATIVE AND POSITIVE RULES :-

➤ (+) × (+) = +

➤ (+) × (-) = -

➤ (-) × (+) = -

➤ (-) × (-) = +