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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 4×(17-4t)-((4-t)+(t×(17-4t))-((16-4t)×4))×0.5 = 10 .
    Question type: Equation
    Solution:Original question:
     4(174 t )((4 t ) + ( t (174 t ))((164 t ) × 4)) ×
1
2
= 10
    Remove the bracket on the left of the equation:
     Left side of the equation = 4 × 174 × 4 t ((4 t ) + ( t (174 t ))((164 t ) × 4)) ×
1
2
                                             = 6816 t ((4 t ) + ( t (174 t ))((164 t ) × 4)) ×
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2
                                             = 6816 t (4 t ) ×
1
2
( t (174 t )) ×
1
2
+ ((164 t ) × 4) ×
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2
                                             = 6816 t 4 ×
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2
+ t ×
1
2
( t (174 t )) ×
1
2
+ ((164 t ) × 4) ×
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2
                                             = 6816 t 2 + t ×
1
2
( t (174 t )) ×
1
2
+ ((164 t ) × 4) ×
1
2
                                             = 66
31
2
t ( t (174 t )) ×
1
2
+ ((164 t ) × 4) ×
1
2
                                             = 66
31
2
t t (174 t ) ×
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2
+ ((164 t ) × 4) ×
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2
                                             = 66
31
2
t t × 17 ×
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2
+ t × 4 t ×
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2
+ ((164 t ) × 4) ×
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2
                                             = 66
31
2
t t ×
17
2
+ t × 2 t + ((164 t ) × 4) ×
1
2
                                             = 6624 t + t × 2 t + ((164 t ) × 4) ×
1
2
                                             = 6624 t + t × 2 t + (164 t ) × 4 ×
1
2
                                             = 6624 t + t × 2 t + (164 t ) × 2
                                             = 6624 t + t × 2 t + 16 × 24 t × 2
                                             = 6624 t + t × 2 t + 328 t
                                             = 9832 t + t × 2 t
    The equation is transformed into :
     9832 t + t × 2 t = 10

    The solution of the equation:
        t1≈3.527864 , keep 6 decimal places
        t2≈12.472136 , 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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