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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (-3a-sqrt((3a)^2-4*(-2a)*(a-2)))/(2*(-2a)) <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -3 * a - sqrt ( ( 3 * a ) ^ 2 - 4 * ( -2 * a ) * ( a - 2 ) ) ) / ( 2 * ( -2 * a ) ) <0 (1)
From the definition field of √
( 3 * x ) ^ 2 - 4 * ( -2 * x ) * ( x - 2 ) ≥ 0 (2 )
From the definition field of divisor
2 * ( -2 * 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):
a ≤ 0 或 a ≥ 0.941176
From inequality(3):
a < 0 或 a > 0
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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