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

Answer:

The value of Discriminant is 0.

Step-by-step 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;

$D=b^2 - 4ac = 12^2-4\times(-4)\times(-9)=144-144 =0$

Hence the value of Discriminant is 0.