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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (-4(0.466*300+h)-sqrt(16(0.466*300+h)^2+4((-300+0.6)^2+4(0.466*300+h)*(300+h))))/2 ≥-150*sqrt(3) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -4 * ( 0.466 * 300 + h ) - sqrt ( 16 * ( 0.466 * 300 + h ) ^ 2 + 4 * ( ( -300 + 0.6 ) ^ 2 + 4 * ( 0.466 * 300 + h ) * ( 300 + h ) ) ) ) / 2 ≥ -150 * sqrt ( 3 ) (1)
From the definition field of √
16 * ( 0.466 * 300 + x ) ^ 2 + 4 * ( ( -300 + 0.6 ) ^ 2 + 4 * ( 0.466 * 300 + x ) * ( 300 + x ) ) ≥ 0 (2 )
From inequality(1):
h ≤ -153.420231
From inequality(2):
h ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
h ≤ -153.420231 (3)
The final solution set is :
h ≤ -153.420231Your problem has not been solved here? Please take a look at the hot problems !