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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 100/(x+62)+100/(x+50)+100/x = 1.5 .
    Question type: Equation
    Solution:Original question:
     100 ÷ ( x + 62) + 100 ÷ ( x + 50) + 100 ÷ x =
3
2
     Multiply both sides of the equation by:( x + 62)
     100 + 100 ÷ ( x + 50) × ( x + 62) + 100 ÷ x × ( x + 62) =
3
2
( x + 62)
    Remove a bracket on the left of the equation::
     100 + 100 ÷ ( x + 50) × x + 100 ÷ ( x + 50) × 62 + 100 ÷ x × ( x + 62) =
3
2
( x + 62)
    Remove a bracket on the right of the equation::
     100 + 100 ÷ ( x + 50) × x + 100 ÷ ( x + 50) × 62 + 100 ÷ x × ( x + 62) =
3
2
x +
3
2
× 62
    The equation is reduced to :
     100 + 100 ÷ ( x + 50) × x + 6200 ÷ ( x + 50) + 100 ÷ x × ( x + 62) =
3
2
x + 93
     Multiply both sides of the equation by:( x + 50)
     100( x + 50) + 100 x + 6200 + 100 ÷ x × ( x + 62)( x + 50) =
3
2
x ( x + 50) + 93( x + 50)
    Remove a bracket on the left of the equation:
     100 x + 100 × 50 + 100 x + 6200 + 100 ÷ x × ( x + 62)( x + 50) =
3
2
x ( x + 50) + 93( x + 50)
    Remove a bracket on the right of the equation::
     100 x + 100 × 50 + 100 x + 6200 + 100 ÷ x × ( x + 62)( x + 50) =
3
2
x x +
3
2
x × 50 + 93( x + 50)
    The equation is reduced to :
     100 x + 5000 + 100 x + 6200 + 100 ÷ x × ( x + 62)( x + 50) =
3
2
x x + 75 x + 93( x + 50)
    The equation is reduced to :
     200 x + 11200 + 100 ÷ x × ( x + 62)( x + 50) =
3
2
x x + 75 x + 93( x + 50)
     Multiply both sides of the equation by: x
     200 x x + 11200 x + 100( x + 62)( x + 50) =
3
2
x x x + 75 x x + 93( x + 50) x
    Remove a bracket on the left of the equation:
     200 x x + 11200 x + 100 x ( x + 50) + 100 × 62( x + 50) =
3
2
x x x + 75 x x + 93( x + 50) x
    Remove a bracket on the right of the equation::
     200 x x + 11200 x + 100 x ( x + 50) + 100 × 62( x + 50) =
3
2
x x x + 75 x x + 93 x x + 93 × 50
    The equation is reduced to :
     200 x x + 11200 x + 100 x ( x + 50) + 6200( x + 50) =
3
2
x x x + 75 x x + 93 x x + 4650 x
    Remove a bracket on the left of the equation:
     200 x x + 11200 x + 100 x x + 100 x × 50 + 6200 =
3
2
x x x + 75 x x + 93 x x + 4650 x
    The equation is reduced to :
     200 x x + 11200 x + 100 x x + 5000 x + 6200( x + 50) =
3
2
x x x + 75 x x + 93 x x + 4650 x
    The equation is reduced to :
     200 x x + 16200 x + 100 x x + 6200( x + 50) =
3
2
x x x + 75 x x + 93 x x + 4650 x
    Remove a bracket on the left of the equation:
     200 x x + 16200 x + 100 x x + 6200 x + 6200 × 50 =
3
2
x x x + 75 x x + 93 x x + 4650 x
    The equation is reduced to :
     200 x x + 16200 x + 100 x x + 6200 x + 310000 =
3
2
x x x + 75 x x + 93 x x + 4650 x
    The equation is reduced to :
     200 x x + 22400 x + 100 x x + 310000 =
3
2
x x x + 75 x x + 93 x x + 4650 x

    The solution of the equation:
        x1≈-56.582575 , keep 6 decimal places
        x2≈-21.934554 , keep 6 decimal places
        x3≈166.517129 , 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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