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    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
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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 58.7/74.5 = (250x/(x+250))/450+250/(x+250) .
    Question type: Equation
    Solution:Original question:
     
587
10
÷
149
2
= (250 x ÷ ( x + 250)) ÷ 450 + 250 ÷ ( x + 250)
     Multiply both sides of the equation by:( x + 250)
     
587
10
÷
149
2
× ( x + 250) = (250 x ÷ ( x + 250)) ÷ 450 × ( x + 250) + 250
    Remove a bracket on the left of the equation::
     
587
10
÷
149
2
× x +
587
10
÷
149
2
× 250 = (250 x ÷ ( x + 250)) ÷ 450 × ( x + 250) + 250
    Remove a bracket on the right of the equation::
     
587
10
÷
149
2
× x +
587
10
÷
149
2
× 250 = 250 x ÷ ( x + 250) ÷ 450 × ( x + 250) + 250
    The equation is reduced to :
     
587
745
x +
29350
149
=
5
9
x ÷ ( x + 250) × ( x + 250) + 250
     Multiply both sides of the equation by:( x + 250)
     
587
745
x ( x + 250) +
29350
149
( x + 250) =
5
9
x ( x + 250) + 250( x + 250)
    Remove a bracket on the left of the equation:
     
587
745
x x +
587
745
x × 250 +
29350
149
( x + 250) =
5
9
x ( x + 250) + 250( x + 250)
    Remove a bracket on the right of the equation::
     
587
745
x x +
587
745
x × 250 +
29350
149
( x + 250) =
5
9
x x +
5
9
x × 250 + 250( x + 250)
    The equation is reduced to :
     
587
745
x x +
29350
149
x +
29350
149
( x + 250) =
5
9
x x +
1250
9
x + 250( x + 250)
    Remove a bracket on the left of the equation:
     
587
745
x x +
29350
149
x +
29350
149
x +
29350
149
× 250 =
5
9
x x +
1250
9
x + 250( x + 250)
    Remove a bracket on the right of the equation::
     
587
745
x x +
29350
149
x +
29350
149
x +
29350
149
× 250 =
5
9
x x +
1250
9
x + 250 x + 250 × 250
    The equation is reduced to :
     
587
745
x x +
29350
149
x +
29350
149
x +
7337500
149
=
5
9
x x +
1250
9
x + 250 x + 62500
    The equation is reduced to :
     
587
745
x x +
58700
149
x +
7337500
149
=
5
9
x x +
3500
9
x + 62500

    the solutions is:
        x≈228.177150 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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