Find the value of the discriminant. Then describe the number and type of roots for the equation. - x^2-12x+4=0

2 real and distinct roots

Step-by-step explanation:

using the discriminant Δ = b² - 4ac

• If b² - 4ac > 0, then 2 real, distinct roots

• If b² - 4ac = 0, then 2 real and equal roots

• If b² - 4ac < 0, then 2 complex roots

for - x² - 12x + 4 = 0

with a = - 1, b = - 12, c = 4, then

b² - 4ac = ( - 12) ² - (4 * - 1 * 4) = 144 + 16 = 160

since b² - 4ac > 0 then there are 2 real and distinct roots