Question

What is the value of discriminant in the equation shown below? x2+3x-6=0​

Answer 1

The discriminant is -3

EXPLANATION

The given quadratic equation is:

`{x}^(2) + 3x - 6 = 0`

Comparing this equation to:

`a {x}^(2) + bx + c = 0`

we have

a=1, b=3, and c=-6

The discriminant is calculated using the formula,

`D = {b}^(2) - 4ac`

We substitute the values to get:

`D = {3}^(2) - 4(1)(3)`

`D = 9 - 12`

`D = - 3`

Answer 2

Discriminant = 33

Explanation:

Solution of a quadratic equation ax² + bx + c = 0

Discriminant = (b² - 4ac)

It is given that, x² + 3x - 6 = 0

To find the value of discriminant

x² + 3x - 6 = 0

Here a = 1, b = 3 and c = -6

Discriminant = (b² - 4ac)

= (3² - 4 * 1 * (-6))

= (9 +24) = 33

Therefore discriminant of given equation is 33