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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 x*x+(4/3*x+12)*(4/3*x+12) = 48*48/25 .
    Question type: Equation
    Solution:Original question:
      x x + (4 ÷ 3 × x + 12)(4 ÷ 3 × x + 12) = 48 × 48 ÷ 25
    Remove the bracket on the left of the equation:
     Left side of the equation = x x + 4 ÷ 3 × x (4 ÷ 3 × x + 12) + 12(4 ÷ 3 × x + 12)
                                             = x x +
4
3
x (4 ÷ 3 × x + 12) + 12(4 ÷ 3 × x + 12)
                                             = x x +
4
3
x × 4 ÷ 3 × x +
4
3
x × 12 + 12(4 ÷ 3 × x + 12)
                                             = x x +
16
9
x x + 16 x + 12(4 ÷ 3 × x + 12)
                                             = x x +
16
9
x x + 16 x + 12 × 4 ÷ 3 × x + 12
                                             = x x +
16
9
x x + 16 x + 16 x + 144
                                             = x x +
16
9
x x + 32 x + 144
    The equation is transformed into :
      x x +
16
9
x x + 32 x + 144 = 48 × 48 ÷ 25
     Right side of the equation =
2304
25
    The equation is transformed into :
      x x +
16
9
x x + 32 x + 144 =
2304
25

    The solution of the equation:
        x1≈-9.569882 , keep 6 decimal places
        x2≈-1.950118 , 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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