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) >((15+x*x/2)*x*x*x/(4-x*x)+1.5*x*(1-x*x)/(4-x*x)+2*x/(4-x*x)+x*x+1)/((-5*x*x*(1-5/(4-x*x)))/(4-x*x)) .
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 ) > ( ( 15 + x * x / 2 ) * x * x * x / ( 4 - x * x ) + 1.5 * x * ( 1 - x * x ) / ( 4 - x * x ) + 2 * x / ( 4 - x * x ) + x * x + 1 ) / ( ( -5 * x * x * ( 1 - 5 / ( 4 - x * x ) ) ) / ( 4 - x * x ) ) (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
4 - x * x ≠ 0 (8 )
From the definition field of divisor
4 - x * x ≠ 0 (9 )
From the definition field of divisor
( -5 * x * x * ( 1 - 5 / ( 4 - x * x ) ) ) / ( 4 - x * x ) ≠ 0 (10 )
From inequality(1):
-1.819323 < x < -0.680214 或 x > 1.828954
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 inequality(9):
x < -2 或 -2 < x < 2 或 x > 2
From inequality(10):
x < 0 或 x > 0
From inequalities (1) and (2)
-1.819323 < x < -0.680214 或 1.828954 < x < 2 或 x > 2 (11)
From inequalities (3) and (11)
-1.819323 < x < -0.680214 或 1.828954 < x < 2 或 x > 2 (12)
From inequalities (4) and (12)
-1.819323 < x < -0.680214 或 1.828954 < x < 2 或 x > 2 (13)
From inequalities (5) and (13)
-1.819323 < x < -0.680214 或 1.828954 < x < 2 或 x > 2 (14)
From inequalities (6) and (14)
-1.819323 < x < -0.680214 或 1.828954 < x < 2 或 x > 2 (15)
From inequalities (7) and (15)
-1.819323 < x < -0.680214 或 1.828954 < x < 2 或 x > 2 (16)
From inequalities (8) and (16)
-1.819323 < x < -0.680214 或 1.828954 < x < 2 或 x > 2 (17)
From inequalities (9) and (17)
-1.819323 < x < -0.680214 或 1.828954 < x < 2 或 x > 2 (18)
From inequalities (10) and (18)
-1.819323 < x < -0.680214 或 1.828954 < x < 2 或 x > 2 (19)
The final solution set is :
-1.819323 < x < -0.680214 或 1.828954 < x < 2 或 x > 2Your problem has not been solved here? Please take a look at the hot problems !