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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 0 = 25/4(x-7/5)(x-9/5)(x-2)-25/3(x-1)(x-9/5)(x-2)-25/4(x-7/5)(x-2)(x-1)+10(x-1)(x-7/5)(x-9/5) .
    Question type: Equation
    Solution:Original question:
     0 = 25 ÷ 4 × ( x 7 ÷ 5)( x 9 ÷ 5)( x 2)25 ÷ 3 × ( x 1)( x 9 ÷ 5)( x 2)25 ÷ 4
     Right side of the equation =
25
4
( x 7 ÷ 5)( x 9 ÷ 5)( x 2)
25
3
( x 1)( x 9 ÷ 5)( x 2)
25
4
( x 7 ÷ 5)( x 2)( x 1)
    The equation is transformed into :
     0 =
25
4
( x 7 ÷ 5)( x 9 ÷ 5)( x 2)
25
3
( x 1)( x 9 ÷ 5)( x 2)
25
4
( x 7 ÷ 5)( x 2)( x 1)
    Remove the bracket on the right of the equation:
     Right side of the equation =
25
4
x ( x 9 ÷ 5)( x 2)
25
4
× 7 ÷ 5 × ( x 9 ÷ 5)( x 2)
25
3
( x 1)( x 9 ÷ 5)
                                               =
25
4
x ( x 9 ÷ 5)( x 2)
35
4
( x 9 ÷ 5)( x 2)
25
3
( x 1)( x 9 ÷ 5)( x 2)
25
4
                                               =
25
4
x x ( x 2)
25
4
x × 9 ÷ 5 × ( x 2)
35
4
( x 9 ÷ 5)( x 2)
                                               =
25
4
x x ( x 2)
45
4
x ( x 2)
35
4
( x 9 ÷ 5)( x 2)
25
3
( x 1)
                                               =
25
4
x x x
25
4
x x × 2
45
4
x ( x 2)
35
4
                                               =
25
4
x x x
25
2
x x
45
4
x ( x 2)
35
4
( x 9 ÷ 5)
                                               =
25
4
x x x
25
2
x x
45
4
x x +
45
4
x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
45
2
x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
45
2
x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
45
2
x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
45
2
x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
45
2
x
                                               =
25
4
x x x
25
2
x x
45
4
x x + 40 x
                                               =
25
4
x x x
25
2
x x
45
4
x x + 40 x
                                               =
25
4
x x x
25
2
x x
45
4
x x + 40 x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
223
4
x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
223
4
x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
223
4
x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
223
4
x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
223
4
x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
223
4
x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
223
4
x
                                               =
25
4
x x x
25
2
x x
45
4
x x +
223
4
x

    
        x≈1.679385 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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