What is the discriminant D of the equation? n^2+2nā2=0
Answer:
the discriminant of the given equation is, 12
Step-by-step explanation:
A quadratic equation \(ax^2+bx+c=0\) Ā ....[1] then
Discriminant of the quadratic equation is given by:
\(D=b^2-4ac\)
where D is the discriminant of the quadratic equation
Given the equation:
\(n^2+2n-2=0\)
On comparing with equation [1] we have;
a = 1, b = 2 and c = -2
Then using formula for discriminant, we have;
\(D=2^2-4(1)(-2)\)
ā\(D=4+8\)
ā\(D = 12\)
Therefore, the discriminant of the given equation is, 12