Question

For the equation \[m^{2} - 14m + 13 = 0\], what is the value of the discriminant \[b^{2} - 4ac\]?

Options

• \[52\]

• \[196\]

• \[144\]

• \[148\]

Answer 1

With \[a = 1\], \[b = -14\], \[c = 13\], the discriminant is \[b^{2} - 4ac = (-14)^{2} - 4(1)(13) = 196 - 52 = 144\]. Since \[144 > 0\], the equation has two distinct real roots.