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Assignment:Find the solution set of inequality sqrt(((213429952+22973738)*x-213429952)^2/(58085260*x^2+161030277*(1-x))) ≤0.84^2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( ( ( 213429952 + 22973738 ) * x - 213429952 ) ^ 2 / ( 58085260 * x ^ 2 + 161030277 * ( 1 - x ) ) ) ≤0.84 ^ 2 (1)
From the definition field of divisor
58085260 * x ^ 2 + 161030277 * ( 1 - x ) ≠ 0 (2 )
From the definition field of √
( ( 213429952 + 22973738 ) * x - 213429952 ) ^ 2 / ( 58085260 * x ^ 2 + 161030277 * ( 1 - x ) ) ≥ 0 (3 )
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequality(3):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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