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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 3.14*(x+49.5)/10*3.14*(x/10/2)*(x/10/2)*19.32 = 40.23 .
    Question type: Equation
    Solution:Original question:
     
157
50
( x +
99
2
) ÷ 10 ×
157
50
( x ÷ 10 ÷ 2)( x ÷ 10 ÷ 2) ×
483
25
=
4023
100
     Left side of the equation =
11905467
625000
( x +
99
2
)( x ÷ 10 ÷ 2)( x ÷ 10 ÷ 2)
    The equation is transformed into :
     
11905467
625000
( x +
99
2
)( x ÷ 10 ÷ 2)( x ÷ 10 ÷ 2) =
4023
100
    Remove the bracket on the left of the equation:
     Left side of the equation =
11905467
625000
x ( x ÷ 10 ÷ 2)( x ÷ 10 ÷ 2) +
11905467
625000
×
99
2
( x ÷ 10 ÷ 2)( x ÷ 10 ÷ 2)
                                             =
11905467
625000
x ( x ÷ 10 ÷ 2)( x ÷ 10 ÷ 2) +
1178641233
1250000
( x ÷ 10 ÷ 2)( x ÷ 10 ÷ 2)
                                             =
11905467
625000
x x ÷ 10 ÷ 2 × ( x ÷ 10 ÷ 2) +
1178641233
1250000
( x ÷ 10 ÷ 2)( x ÷ 10 ÷ 2)
                                             =
11905467
12500000
x x ( x ÷ 10 ÷ 2) +
1178641233
1250000
( x ÷ 10 ÷ 2)( x ÷ 10 ÷ 2)
                                             =
11905467
12500000
x x x ÷ 10 ÷ 2 +
1178641233
1250000
( x ÷ 10 ÷ 2)( x ÷ 10 ÷ 2)
                                             =
11905467
250000000
x x x +
1178641233
1250000
( x ÷ 10 ÷ 2)( x ÷ 10 ÷ 2)
                                             =
11905467
250000000
x x x +
1178641233
1250000
x ÷ 10 ÷ 2 × ( x ÷ 10 ÷ 2)
                                             =
11905467
250000000
x x x +
1178641233
25000000
x ( x ÷ 10 ÷ 2)
                                             =
11905467
250000000
x x x +
1178641233
25000000
x x ÷ 10 ÷ 2
                                             =
11905467
250000000
x x x +
1178641233
500000000
x x
    The equation is transformed into :
     
11905467
250000000
x x x +
1178641233
500000000
x x =
4023
100

    The solution of the equation:
        x1≈-49.150304 , keep 6 decimal places
        x2≈-4.324337 , keep 6 decimal places
        x3≈3.974641 , 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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