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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 (z-1)(z-0.3679)+10z(1-0.3679) = 0 .
    Question type: Equation
    Solution:Original question:
     ( z 1)( z
3679
10000
) + 10 z (1
3679
10000
) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = z ( z
3679
10000
)1( z
3679
10000
) + 10 z (1
3679
10000
)
                                             = z z z ×
3679
10000
1( z
3679
10000
) + 10 z (1
3679
10000
)
                                             = z z
3679
10000
z 1 z + 1 ×
3679
10000
+ 10 z (1
3679
10000
)
                                             = z z
3679
10000
z 1 z +
3679
10000
+ 10 z (1
3679
10000
)
                                             = z z
13679
10000
z +
3679
10000
+ 10 z (1
3679
10000
)
                                             = z z
13679
10000
z +
3679
10000
+ 10 z × 110 z ×
3679
10000
                                             = z z
13679
10000
z +
3679
10000
+ 10 z
3679
1000
z
                                             = z z +
49531
10000
z +
3679
10000
    The equation is transformed into :
      z z +
49531
10000
z +
3679
10000
= 0

    The solution of the equation:
        z1≈-4.877675 , keep 6 decimal places
        z2≈-0.075425 , 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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