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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 1.61x-0.224 = 5.51x/(1+4.51x) .
    Question type: Equation
    Solution:Original question:

161 100

x

−

28 125

=

551 100

x

÷

(

1

+

451 100

x

)

Multiply both sides of the equation by:

(

1

+

451 100

x

)

161 100

x

(

1

+

451 100

x

)

−

28 125

(

1

+

451 100

x

)

=

551 100

x

    Remove a bracket on the left of the equation:：

161 100

x

×

1

+

161 100

x

×

451 100

x

−

28 125

(

1

+

451 100

x

)

=

551 100

x

    The equation is reduced to :

161 100

x

+

72611 10000

x

x

−

28 125

(

1

+

451 100

x

)

=

551 100

x

    Remove a bracket on the left of the equation:

161 100

x

+

72611 10000

x

x

−

28 125

×

1

−

28 125

×

451 100

x

=

551 100

x

    The equation is reduced to :

161 100

x

+

72611 10000

x

x

−

28 125

−

3157 3125

x

=

551 100

x

    The equation is reduced to :

7497 12500

x

+

72611 10000

x

x

−

28 125

=

551 100

x

    The solution of the equation:
        x₁≈-0.221729 , keep 6 decimal places
        x₂≈-0.042898 , keep 6 decimal places
        x₃≈0.719137 , keep 6 decimal places    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》

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