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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality e((-a-2+sqrt(a^2+8))/2)*(1-a*((-a-2+sqrt(a^2+8))/2)-((-a-2+sqrt(a^2+8))/2)^2) <= 1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
e ( ( -a - 2 + sqrt ( a ^ 2 + 8 ) ) / 2 ) * ( 1 - a * ( ( -a - 2 + sqrt ( a ^ 2 + 8 ) ) / 2 ) - ( ( -a - 2 + sqrt ( a ^ 2 + 8 ) ) / 2 ) ^ 2 ) <= 1 (1)
From the definition field of √
x ^ 2 + 8 ≥ 0 (2 )
From the definition field of √
x ^ 2 + 8 ≥ 0 (3 )
From the definition field of √
x ^ 2 + 8 ≥ 0 (4 )
From inequality(1):
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!
From inequality(2):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(4):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (5)
From inequalities (3) and (5)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (6)
From inequalities (4) and (6)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (7)
The final solution set is :
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!Your problem has not been solved here? Please take a look at the hot problems !