Question

find all values of m for which x^4-(3m+2)x^2 +m^2 = 0 has four real roots

Answer 1

Answer:

solved

Step-by-step explanation:

x^4-(3m+2)x^2 +m^2 = 0

for real roots

(3m+2)²≥ 4m²

9m²+12m+4 ≥ 4m²

5m²+12m+4 ≥ 0

(5m+2)(m+2) ≥ 0

m ≥ -2/5 , -2

m ≤ -2/5 , -2