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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 (1000+30*x*x)/x/x+80/(1/6*x*x*x) = 1.2*192 .
    Question type: Equation
    Solution:Original question:
     (1000 + 30 x x ) ÷ x ÷ x + 80 ÷ (1 ÷ 6 × x x x ) =
6
5
× 192
     Multiply both sides of the equation by: x
     (1000 + 30 x x ) ÷ x + 80 ÷ (1 ÷ 6 × 1 x x ) × 1 =
6
5
× 192 x
    Remove a bracket on the left of the equation::
     1000 ÷ x + 30 x x ÷ x + 80 ÷ (1 ÷ 6 × 1 x x ) × 1 =
6
5
× 192 x
    The equation is reduced to :
     1000 ÷ x + 30 x x ÷ x + 80 ÷ (1 ÷ 6 × 1 x x ) =
1152
5
x
     Multiply both sides of the equation by: x
     1000 + 30 × 1 x ÷ 1 × x + 80 ÷ (1 ÷ 6 × 1 × 1 x ) × 1 =
1152
5
x x
     Multiply both sides of the equation by:(1 ÷ 6 × 1 × 1 x )
     1000(1 ÷ 6 × 1 × 1 x ) + 30 × 1 x ÷ 1 × x (1 ÷ 6 × 1 × 1 x ) + 80 × 1 =
1152
5
x x (1 ÷ 6 × 1 × 1 x )
    Remove a bracket on the left of the equation:
     1000 × 1 ÷ 6 × 1 × 1 x + 30 × 1 x ÷ 1 × x (1 ÷ 6 × 1 × 1 x ) =
1152
5
x x (1 ÷ 6 × 1 × 1 x )
    Remove a bracket on the right of the equation::
     1000 × 1 ÷ 6 × 1 × 1 x + 30 × 1 x ÷ 1 × x (1 ÷ 6 × 1 × 1 x ) =
1152
5
x x × 1 ÷ 6 × 1 × 1 x
    The equation is reduced to :
     
500
3
x + 30 x x (1 ÷ 6 × 1 × 1 x ) + 80 =
192
5
x x x
    Remove a bracket on the left of the equation:
     
500
3
x + 30 x x × 1 ÷ 6 × 1 × 1 x + 80 =
192
5
x x x
    The equation is reduced to :
     
500
3
x + 5 x x x + 80 =
192
5
x x x

    The solution of the equation:
        x1≈-1.937462 , keep 6 decimal places
        x2≈-0.505956 , keep 6 decimal places
        x3≈2.443418 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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