Question

F(x)=−4x 2 +12x−9f, left parenthesis, x, right parenthesis, equals, minus, 4, x, squared, plus, 12, x, minus, 9 What is the value of the discriminant of fff?

Answer 1

The value of Discriminant is 0.

Explanation:

Given,

`f(x)=-4x^2+12x-9`

We need to find the value of discriminant.

And also we need to find the number of real zeros 'f(x)' have.

Solution,

We have given the quadratic equation;

`f(x)=-4x^2+12x-9`

where

`a = -4\\\\b = 10\\\\c = -8`

Now we will find the Discriminant.

Discriminant can be calculated by using the formula
`b^2 - 4ac`.

Substituting the values we get;

`D=b^2 - 4ac = 12^2-4*(-4)*(-9)=144-144 =0`

Hence the value of Discriminant is 0.