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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 7/9(27-2x)(27-2x) = 21*27*3/4 .
    Question type: Equation
    Solution:Original question:
     7 ÷ 9 × (272 x )(272 x ) = 21 × 27 × 3 ÷ 4
     Left side of the equation =
7
9
(272 x )(272 x )
    The equation is transformed into :
     
7
9
(272 x )(272 x ) = 21 × 27 × 3 ÷ 4
    Remove the bracket on the left of the equation:
     Left side of the equation =
7
9
× 27(272 x )
7
9
× 2 x (272 x )
                                             = 21(272 x )
14
9
x (272 x )
                                             = 21 × 2721 × 2 x
14
9
x (272 x )
                                             = 56742 x
14
9
x (272 x )
                                             = 56742 x
14
9
x × 27 +
14
9
x × 2 x
                                             = 56742 x 42 x +
28
9
x x
                                             = 56784 x +
28
9
x x
    The equation is transformed into :
     56784 x +
28
9
x x = 21 × 27 × 3 ÷ 4
     Right side of the equation =
1701
4
    The equation is transformed into :
     56784 x +
28
9
x x =
1701
4

    The solution of the equation:
        x1≈1.808657 , keep 6 decimal places
        x2≈25.191343 , 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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