current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (12.5*x*x/(4-x*x)-3*x*x+2)/(25*x/(4-x*x)-5*x) >(((3/8)*x*x*x/(4-x*x))+2.5*x/(4-x*x)+x*x/4-9*x/40+0.25+2/5x)/(5/(4-x*x)-1) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 12.5 * x * x / ( 4 - x * x ) - 3 * x * x + 2 ) / ( 25 * x / ( 4 - x * x ) - 5 * x ) > ( ( ( 3 / 8 ) * x * x * x / ( 4 - x * x ) ) + 2.5 * x / ( 4 - x * x ) + x * x / 4 - 9 * x / 40 + 0.25 + 2 / 5 * x ) / ( 5 / ( 4 - x * x ) - 1 ) (1)
From the definition field of divisor
4 - x * x ≠ 0 (2 )
From the definition field of divisor
4 - x * x ≠ 0 (3 )
From the definition field of divisor
25 * x / ( 4 - x * x ) - 5 * x ≠ 0 (4 )
From the definition field of divisor
4 - x * x ≠ 0 (5 )
From the definition field of divisor
4 - x * x ≠ 0 (6 )
From the definition field of divisor
4 - x * x ≠ 0 (7 )
From the definition field of divisor
5 / ( 4 - x * x ) - 1 ≠ 0 (8 )
From inequality(1):
x < -1 或 0 < x < 0.53343 或 x > 2.339356
From inequality(2):
x < -2 或 -2 < x < 2 或 x > 2
From inequality(3):
x < -2 或 -2 < x < 2 或 x > 2
From inequality(4):
x < -2 或 -2 < x < 0 或 0 < x < 2 或 x > 2
From inequality(5):
x < -2 或 -2 < x < 2 或 x > 2
From inequality(6):
x < -2 或 -2 < x < 2 或 x > 2
From inequality(7):
x < -2 或 -2 < x < 2 或 x > 2
From inequality(8):
x < -2 或 -2 < x < 2 或 x > 2
From inequalities (1) and (2)
x < -2 或 -2 < x < -1 或 0 < x < 0.53343 或 x > 2.339356 (9)
From inequalities (3) and (9)
x < -2 或 -2 < x < -1 或 0 < x < 0.53343 或 x > 2.339356 (10)
From inequalities (4) and (10)
x < -2 或 -2 < x < -1 或 0 < x < 0.53343 或 x > 2.339356 (11)
From inequalities (5) and (11)
x < -2 或 -2 < x < -1 或 0 < x < 0.53343 或 x > 2.339356 (12)
From inequalities (6) and (12)
x < -2 或 -2 < x < -1 或 0 < x < 0.53343 或 x > 2.339356 (13)
From inequalities (7) and (13)
x < -2 或 -2 < x < -1 或 0 < x < 0.53343 或 x > 2.339356 (14)
From inequalities (8) and (14)
x < -2 或 -2 < x < -1 或 0 < x < 0.53343 或 x > 2.339356 (15)
The final solution set is :
x < -2 或 -2 < x < -1 或 0 < x < 0.53343 或 x > 2.339356Your problem has not been solved here? Please take a look at the hot problems !