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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 (x+4/3)*(x+4/3)+9x*x = 4 .
    Question type: Equation
    Solution:Original question:
     ( x + 4 ÷ 3)( x + 4 ÷ 3) + 9 x x = 4
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x + 4 ÷ 3) + 4 ÷ 3 × ( x + 4 ÷ 3) + 9 x x
                                             = x ( x + 4 ÷ 3) +
4
3
( x + 4 ÷ 3) + 9 x x
                                             = x x + x × 4 ÷ 3 +
4
3
( x + 4 ÷ 3) + 9 x x
                                             = x x + x ×
4
3
+
4
3
( x + 4 ÷ 3) + 9 x x
                                             = x x +
4
3
x +
4
3
x +
4
3
× 4 ÷ 3 + 9 x x
                                             = x x +
4
3
x +
4
3
x +
16
9
+ 9 x x
                                             = x x +
8
3
x +
16
9
+ 9 x x
    The equation is transformed into :
      x x +
8
3
x +
16
9
+ 9 x x = 4

    The solution of the equation:
        x1≈-0.623231 , keep 6 decimal places
        x2≈0.356565 , 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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