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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 119.2*2 = (29+10.16*x-0.06)*(x-2.86) .
    Question type: Equation
    Solution:Original question:
     
596
5
× 2 = (29 +
254
25
x
3
50
)( x
143
50
)
     Left side of the equation =
1192
5
    The equation is transformed into :
     
1192
5
= (29 +
254
25
x
3
50
)( x
143
50
)
    Remove the bracket on the right of the equation:
     Right side of the equation = 29( x
143
50
) +
254
25
x ( x
143
50
)
3
50
( x
143
50
)
                                               = 29 x 29 ×
143
50
+
254
25
x ( x
143
50
)
3
50
( x
143
50
)
                                               = 29 x
4147
50
+
254
25
x ( x
143
50
)
3
50
( x
143
50
)
                                               = 29 x
4147
50
+
254
25
x x
254
25
x ×
143
50
3
50
( x
143
50
)
                                               = 29 x
4147
50
+
254
25
x x
18161
625
x
3
50
( x
143
50
)
                                               = -
36
625
x
4147
50
+
254
25
x x
3
50
( x
143
50
)
                                               = -
36
625
x
4147
50
+
254
25
x x
3
50
x +
3
50
×
143
50
                                               = -
36
625
x
4147
50
+
254
25
x x
3
50
x +
429
2500
                                               = -
147
1250
x
206921
2500
+
254
25
x x
    The equation is transformed into :
     
1192
5
= -
147
1250
x
206921
2500
+
254
25
x x

    The solution of the equation:
        x1≈-5.616587 , keep 6 decimal places
        x2≈5.628162 , 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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