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kudzordzifrancis

ANSWER

The discriminant is -3

EXPLANATION

The given quadratic equation is:

[tex] {x}^{2} + 3x - 6 = 0[/tex]

Comparing this equation to:

[tex]a {x}^{2} + bx + c = 0[/tex]

we have

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

The discriminant is calculated using the formula,

[tex]D = {b}^{2} - 4ac[/tex]

We substitute the values to get:

[tex]D = {3}^{2} - 4(1)(3)[/tex]

[tex]D = 9 - 12[/tex]

[tex]D = - 3[/tex]

imlittlestar

Answer:

Discriminant = 33

Step-by-step 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

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