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