Question

What is the discriminant, D, of the equation?



n2+2n−2=0



Enter your answer in the box.

D =

Answer 1

To find the discriminant \( D \) of the quadratic equation in the form \( ax^2 + bx + c = 0 \), we use the formula:

\[
D = b^2 - 4ac
\]

For the equation \( n^2 + 2n - 2 = 0 \), we identify the coefficients as follows:

- \( a = 1 \)
- \( b = 2 \)
- \( c = -2 \)

Now, we can plug these values into the discriminant formula:

\[
D = 2^2 - 4 \cdot 1 \cdot (-2)
\]

Calculating the terms:

\[
D = 4 - 4 \cdot 1 \cdot (-2)
\]
\[
D = 4 - (-8)
\]
\[
D = 4 + 8
\]
\[
D = 12
\]

Thus, the discriminant \( D \) is:

\[
D = 12
\]