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Assignment:Find the solution set of inequality (300^2/4)/(4*(0.466*300+h)^2-(((1+2*0.466)*300+3*h)*300^2/4)/(2(0.466*300+h)+(300+h)^2-(300+0.6)^2 ) ) <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 300 ^ 2 / 4 ) / ( 4 * ( 0.466 * 300 + h ) ^ 2 - ( ( ( 1 + 2 * 0.466 ) * 300 + 3 * h ) * 300 ^ 2 / 4 ) / ( 2 * ( 0.466 * 300 + h ) + ( 300 + h ) ^ 2 - ( 300 + 0.6 ) ^ 2 ) ) <0 (1)
From the definition field of divisor
2 * ( 0.466 * 300 + x ) + ( 300 + x ) ^ 2 - ( 300 + 0.6 ) ^ 2 ≠ 0 (2 )
From the definition field of divisor
4 * ( 0.466 * 300 + x ) ^ 2 - ( ( ( 1 + 2 * 0.466 ) * 300 + 3 * x ) * 300 ^ 2 / 4 ) / ( 2 * ( 0.466 * 300 + x ) + ( 300 + x ) ^ 2 - ( 300 + 0.6 ) ^ 2 ) ≠ 0 (3 )
From inequality(1):
-141.292577 < h < -138.264504
From inequality(2):
h < 0.134123 或 h > 0.134123
From inequality(3):
h < -193.206496 或 -193.206496 < h < -139.799834 或 h > -139.799834
From inequalities (1) and (2)
-141.292577 < h < -138.264504 (4)
From inequalities (3) and (4)
-141.292577 < h < -139.799834 或 -139.799834 < h < -138.264504 (5)
The final solution set is :
-141.292577 < h < -139.799834 或 -139.799834 < h < -138.264504 Your problem has not been solved here? Please take a look at the hot problems !