4.10 2重解をもつので判別式 D = 0 (1)x2 + mx − m = 0 D = m2 − 4(−m) m2 + 4m = 0 ⇔ m(m + 4) = 0 ∴ m = 0, −4 のとき (2)x2 + (m + 2)x + m2 = 0 D = (m + 2)2 − 4m2 − 3m2 + 4m + 4 = 0 ⇔ (3m + 2)(m − 2) = 0 ∴ m = − 23 , 2 のとき (3)x2 − 4mx + m + 3 = 0 D = 4m2 − (m + 3) 4m2 − m − 3 = 0 ⇔ (4m + 3)(m − 1) = 0 ∴ m = − 43 , 1 のとき (4)mx2 + 2(m − 1)x + (m + 1) D = (m − 1)2 − m(m + 1) ∴m= 1 3 − 3m + 1 = 0 ⇔ m = のとき 1 1 3
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