Answer:
196
Step-by-step explanation:
The discriminant (Δ) is given by:
[tex]\Delta = b^2-4ac[/tex]
Where the polynomial is in the form:
[tex]ax^2+bx+c=0[/tex]
In this problem, a = 1, b = 0, and c = -49. Thus, plugging it into the formula:
[tex]\Delta = 0^2-4(1)(-49) = -(-196) = 196[/tex]
Thus, the discriminant of x² – 49 = 0 is 196.