Question

Calculate the discriminant: 0 = 9x² - 24x + 16

Answer 1

`{\boxed{\sf {Discriminant = 0}}}`

Explanation:

The discriminant for the quadratic equation in the formula of ax² + bx + c is,

`\sf Discriminant = b^2 - 4ac`

From the given quadratic equation- 9x² - 24x + 16,

`\sf a = 9`

`\sf b = -24`

`\sf c = 16`

Substituting the required values in the Discriminant formula:

`\sf Discriminant = -24^2 - 4 (9)(16)`

`\sf Discriminant = 576 - 576`

`\bf Discriminant = 0`

Hence, for the Equation 0 = 9x² - 24x + 16, the discriminant is zero.

Answer 2

0

Explanation:

ax² + bx + c = 0

The discriminant is b² - 4ac

9x² - 24x + 16 = 0

a = 9; b = -24; c = 16

The discriminant is

b² - 4ac = (-24)² - 4(9)(16) = 576 - 576 = 0

Answer: 0