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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 (1+x)*(x/2)*54.5*(0.0325/12) = x*12000*(0.0325/12) .
    Question type: Equation
    Solution:Original question:
     (1 + x )( x ÷ 2) ×
109
2
(
13
400
÷ 12) = x × 12000(
13
400
÷ 12)
    Remove the bracket on the left of the equation:
     Left side of the equation = 1( x ÷ 2) ×
109
2
(
13
400
÷ 12) + x ( x ÷ 2) ×
109
2
(
13
400
÷ 12)
                                             =
109
2
( x ÷ 2)(
13
400
÷ 12) + x ( x ÷ 2) ×
109
2
(
13
400
÷ 12)
                                             =
109
2
x ÷ 2 × (
13
400
÷ 12) + x ( x ÷ 2) ×
109
2
(
13
400
÷ 12)
                                             =
109
4
x (
13
400
÷ 12) + x ( x ÷ 2) ×
109
2
(
13
400
÷ 12)
                                             =
109
4
x ×
13
400
÷ 12 + x ( x ÷ 2) ×
109
2
(
13
400
÷ 12)
                                             =
1417
19200
x + x ( x ÷ 2) ×
109
2
(
13
400
÷ 12)
                                             =
1417
19200
x + x x ÷ 2 ×
109
2
(
13
400
÷ 12)
                                             =
1417
19200
x + x x ×
109
4
(
13
400
÷ 12)
                                             =
1417
19200
x + x x ×
109
4
×
13
400
÷ 12
                                             =
1417
19200
x + x x ×
1417
19200
    The equation is transformed into :
     
1417
19200
x + x x ×
1417
19200
= x × 12000(
13
400
÷ 12)
    Remove the bracket on the right of the equation:
     Right side of the equation = x × 12000 ×
13
400
÷ 12
                                               = x ×
65
2
    The equation is transformed into :
     
1417
19200
x + x x ×
1417
19200
=
65
2
x

    the solutions is:
        x=0
    
    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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