Answer:
the discriminant of the given equation is, 12
Step-by-step explanation:
A quadratic equation [tex]ax^2+bx+c=0[/tex] ....[1] then
Discriminant of the quadratic equation is given by:
[tex]D=b^2-4ac[/tex]
where D is the discriminant of the quadratic equation
Given the equation:
[tex]n^2+2n-2=0[/tex]
On comparing with equation [1] we have;
a = 1, b = 2 and c = -2
Then using formula for discriminant, we have;
[tex]D=2^2-4(1)(-2)[/tex]
⇒[tex]D=4+8[/tex]
⇒[tex]D = 12[/tex]
Therefore, the discriminant of the given equation is, 12
