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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 -9/5(x-2)(x-2)+5-5/7x+25/7 = 0 .
    Question type: Equation
    Solution:Original question:
      - 9 ÷ 5 × ( x 2)( x 2) + 55 ÷ 7 × x + 25 ÷ 7 = 0
     Left side of the equation = -
9
5
( x 2)( x 2) + 5
5
7
x +
25
7
                                             = -
9
5
( x 2)( x 2) +
60
7
5
7
x
    The equation is transformed into :
      -
9
5
( x 2)( x 2) +
60
7
5
7
x = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = -
9
5
x ( x 2) +
9
5
× 2( x 2) +
60
7
5
7
x
                                             = -
9
5
x ( x 2) +
18
5
( x 2) +
60
7
5
7
x
                                             = -
9
5
x x +
9
5
x × 2 +
18
5
( x 2) +
60
7
5
7
x
                                             = -
9
5
x x +
18
5
x +
18
5
( x 2) +
60
7
5
7
x
                                             = -
9
5
x x +
101
35
x +
18
5
( x 2) +
60
7
                                             = -
9
5
x x +
101
35
x +
18
5
x
18
5
× 2 +
60
7
                                             = -
9
5
x x +
101
35
x +
18
5
x
36
5
+
60
7
                                             = -
9
5
x x +
227
35
x +
48
35
    The equation is transformed into :
      -
9
5
x x +
227
35
x +
48
35
= 0

    The solution of the equation:
        x1≈-0.200317 , keep 6 decimal places
        x2≈3.803492 , 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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