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History of Inequality Computation > Answer
Overview: 2 questions will be solved this time.Among them
☆1 inequalities
☆1 equations
[ 1/2Inequality]
Assignment:Find the solution set of inequality 0
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0 < x (1)
x <1 (2)
From inequality(1):
x > 0
From inequality(2):
x < 1
From inequalities (1) and (2)
0 < x < 1 (3)
The final solution set is :
0 < x < 1 [ 2/2 Equation]
Work: Find the solution of equation x+x^(-1) = 3 .
Question type: Equation
Solution:
After the equation is converted into a general formula, there is a common factor:
( x +0 )
From
x + 0 = 0
it is concluded that::
x1=0, it is the incremental root of the eqution.
Solutions that cannot be obtained by factorization:
x2≈0.381966 , keep 6 decimal places
x3≈2.618034 , keep 6 decimal places
There are 3 solution(s).
There is(are) 1 additive root(s) and 2 real solutions.(Note:additive root, generated by computer, but not suitable for this equation.)
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