Question

What is the value of b2 - 4ac for the following equation? 2x 2 - 2x - 1 = 0

Answer 1

Answer:

The value of the discriminant is 12.

Step-by-step explanation:

We are given the quadratic equation is $2x^2-2x-1=0$.

Now, we know,

The discriminant for the quadratic equation $ax^2+bx+c=0$ is given by $D=b^2-4ac$.

On comparing the equations, we have,

a= 2, b= -2 and c= -1

So, the discriminant is given by,

$D=(-2)^2-4\times 2\times (-1)$

i.e. $D=4+8$

i.e. D= 12

Hence, the value of the discriminant is 12.

Answer 2

$2x^2-2x-1=0$
$\Delta=b^2-4ac$

$\Delta=(-2)^2-4*2*(-1)=4+8=12$