Question

Find the discriminant of 3x2 - 10X=-2.

Answer 1

76

Explanation:

Given a quadratic in standard form : ax² + bx + c : a ≠ 0, then

the discriminant Δ = b² - 4ac

Given

3x² - 10x = - 2 ( add 2 to both sides )

3x² - 10x + 2 = 0 ← in standard form

with a = 3, b = - 10 and c = 2

b² - 4ac = (- 10)² - (4 × 3 × 2) = 100 - 24 = 76

Answer 2

Discriminant : 74 .

Explanation:

Given : 3x² - 10x = -2.

To find : Find the discriminant .

Solution : We have given 3x² - 10x = -2.

On compare with standard form ax² +bx +c = 0.

Where, a =3 ,b = -10 , c = 2.

Discriminant :
`b^(2) - 4ac`.

Plug the values of a , b , c .

Discriminant :
`(-10)^(2) - 4(3)(2)`.

Discriminant : 100 - 24 .

Discriminant : 74 .

Therefore, Discriminant : 74 .