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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 6000/a+10000/(a+22.4)+10000/a = 150 .
    Question type: Equation
    Solution:Original question:
     6000 ÷ a + 10000 ÷ ( a +
112
5
) + 10000 ÷ a = 150
     Multiply both sides of the equation by: a
     6000 + 10000 ÷ ( a +
112
5
) × a + 10000 ÷ 1 × 1 = 150 a
     Multiply both sides of the equation by:( a +
112
5
)
     6000( a +
112
5
) + 10000 a + 10000 ÷ 1 × 1( a +
112
5
) = 150 a ( a +
112
5
)
    Remove a bracket on the left of the equation:
     6000 a + 6000 ×
112
5
+ 10000 a + 10000 ÷ 1 × 1( a +
112
5
) = 150 a ( a +
112
5
)
    Remove a bracket on the right of the equation::
     6000 a + 6000 ×
112
5
+ 10000 a + 10000 ÷ 1 × 1( a +
112
5
) = 150 a a + 150 a ×
112
5
    The equation is reduced to :
     6000 a + 134400 + 10000 a + 10000( a +
112
5
) = 150 a a + 3360 a
    The equation is reduced to :
     16000 a + 134400 + 10000( a +
112
5
) = 150 a a + 3360 a
    Remove a bracket on the left of the equation:
     16000 a + 134400 + 10000 a + 10000 ×
112
5
= 150 a a + 3360 a
    The equation is reduced to :
     16000 a + 134400 + 10000 a + 224000 = 150 a a + 3360 a
    The equation is reduced to :
     26000 a + 358400 = 150 a a + 3360 a

    The solution of the equation:
        a1≈-14.447465 , keep 6 decimal places
        a2≈165.380799 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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