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Given the equation x2 + (2-k) x + K-2 = 0 about X, two real number roots are X1 and x2. Is there a constant k such that X1 / x2 + x2 / X1 = 3 / 2? If so, find
The formula is divided into (x1 & # 178; + x2 & # 178;) / x1x2 = 1.5, and then [(x1 + x2) &# 178; - 2x1x2] / x1x2 = 1.5. According to Vader's theorem, we know that X1 + x2 = 2-k, x1x2 = K-2, and get k = 5.5
Oh, also consider the discriminant ≥ 0, contact K ≥ 6 or ≤ 2, so it does not exist
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