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    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 1/((x-0.3)*(x-0.3)+0.01)+1/((x-0.9)*(x-0.9)+0.04)-6 = 0 .
    Question type: Equation
    Solution:Original question:
     1 ÷ (( x −
3
10
)( x −
3
10
) +
1
100
) + 1 ÷ (( x −
9
10
)( x −
9
10
) +
1
25
) − 6 = 0
     Multiply both sides of the equation by:(( x −
3
10
)( x −
3
10
) +
1
100
)
     1 + 1 ÷ (( x −
9
10
)( x −
9
10
) +
1
25
) × (( x −
3
10
)( x −
3
10
) +
1
100
) − 6(( x −
3
10
)( x −
3
10
) +
1
100
) = 0
    Remove a bracket on the left of the equation:：
     1 + 1 ÷ (( x −
9
10
)( x −
9
10
) +
1
25
) × ( x −
3
10
)( x −
3
10
) + 1 ÷ (( x −
9
10
)( x −
9
10
) +
1
25
) ×
1
100
 − 6(( x −
3
10
)( x −
3
10
) +
1
100
) = 0
    The equation is reduced to :
     1 + 1 ÷ (( x −
9
10
)( x −
9
10
) +
1
25
) × ( x −
3
10
)( x −
3
10
) +
1
100
 ÷ (( x −
9
10
)( x −
9
10
) +
1
25
) − 6(( x −
3
10
)( x −
3
10
) +
1
100
) = 0
     Multiply both sides of the equation by:(( x −
9
10
)( x −
9
10
) +
1
25
)
     1(( x −
9
10
)( x −
9
10
) +
1
25
) + 1( x −
3
10
)( x −
3
10
) +
1
100
 ÷ (( x −
9
10
)( x −
9
10
) +
1
25
) × (( x −
9
10
)( x −
9
10
) +
1
25
) − 6(( x −
3
10
)( x −
3
10
) +
1
100
)(( x −
9
10
)( x −
9
10
) +
1
25
) = 0
    Remove a bracket on the left of the equation:
     1( x −
9
10
)( x −
9
10
) + 1 ×
1
25
 + 1( x −
3
10
)( x −
3
10
) +
1
100
 ÷ (( x −
9
10
)( x −
9
10
) +
1
25
) × (( x −
9
10
)( x −
9
10
) +
1
25
) − 6 = 0
    The equation is reduced to :
     1( x −
9
10
)( x −
9
10
) +
1
25
 + 1( x −
3
10
)( x −
3
10
) +
1
100
 ÷ (( x −
9
10
)( x −
9
10
) +
1
25
) × (( x −
9
10
)( x −
9
10
) +
1
25
) − 6(( x −
3
10
)( x −
3
10
) +
1
100
) = 0
     Multiply both sides of the equation by:(( x −
9
10
)( x −
9
10
) +
1
25
)
     1( x −
9
10
)( x −
9
10
)(( x −
9
10
)( x −
9
10
) +
1
25
) +
1
25
(( x −
9
10
)( x −
9
10
) +
1
25
) + 1( x −
3
10
)( x −
3
10
)(( x −
9
10
)( x −
9
10
) +
1
25
) +
1
100
(( x −
9
10
)( x −
9
10
) +
1
25
) = 0
    Remove a bracket on the left of the equation:
     1 x ( x −
9
10
)(( x −
9
10
)( x −
9
10
) +
1
25
) − 1 ×
9
10
( x −
9
10
)(( x −
9
10
)( x −
9
10
) +
1
25
) +
1
25
(( x −
9
10
)( x −
9
10
) +
1
25
) + 1( x −
3
10
) = 0
    The equation is reduced to :
     1 x ( x −
9
10
)(( x −
9
10
)( x −
9
10
) +
1
25
) −
9
10
( x −
9
10
)(( x −
9
10
)( x −
9
10
) +
1
25
) +
1
25
(( x −
9
10
)( x −
9
10
) +
1
25
) + 1( x −
3
10
)( x −
3
10
) = 0
    Remove a bracket on the left of the equation:
     1 x x (( x −
9
10
)( x −
9
10
) +
1
25
) − 1 x ×
9
10
(( x −
9
10
)( x −
9
10
) +
1
25
) −
9
10
( x −
9
10
)(( x −
9
10
)( x −
9
10
) +
1
25
) +
1
25
 = 0
    The equation is reduced to :
     1 x x (( x −
9
10
)( x −
9
10
) +
1
25
) −
9
10
 x (( x −
9
10
)( x −
9
10
) +
1
25
) −
9
10
( x −
9
10
)(( x −
9
10
)( x −
9
10
) +
1
25
) +
1
25
(( x −
9
10
)( x −
9
10
) +
1
25
) = 0
    Remove a bracket on the left of the equation:
     1 x x ( x −
9
10
)( x −
9
10
) + 1 x x ×
1
25
 −
9
10
 x (( x −
9
10
)( x −
9
10
) +
1
25
) = 0
    The equation is reduced to :
     1 x x ( x −
9
10
)( x −
9
10
) +
1
25
 x x −
9
10
 x (( x −
9
10
)( x −
9
10
) +
1
25
) −
9
10
 = 0
    Remove a bracket on the left of the equation:
     1 x x x ( x −
9
10
) − 1 x x ×
9
10
( x −
9
10
) +
1
25
 x = 0
    The equation is reduced to :
     1 x x x ( x −
9
10
) −
9
10
 x x ( x −
9
10
) +
1
25
 x x = 0
    Remove a bracket on the left of the equation:
     1 x x x x − 1 x x x ×
9
10
 −
9
10
 x = 0
    The equation is reduced to :
     1 x x x x −
9
10
 x x x −
9
10
 x x = 0
    Remove a bracket on the left of the equation:
     1 x x x x −
9
10
 x x x −
9
10
 x x = 0
    The equation is reduced to :
     1 x x x x −
9
10
 x x x −
9
10
 x x = 0
    Remove a bracket on the left of the equation:
     1 x x x x −
9
10
 x x x −
9
10
 x x = 0
    The equation is reduced to :
     1 x x x x −
9
10
 x x x −
9
10
 x x = 0
    Remove a bracket on the left of the equation:
     1 x x x x −
9
10
 x x x −
9
10
 x x = 0

    The solution of the equation:
        x1≈-0.131618 , keep 6 decimal places
        x2≈1.299550 , keep 6 decimal places    
    There are 2 solution(s).

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