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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 53-0.4*(t-8)*(t-8) = -1.6*t+44.2 .
    Question type: Equation
    Solution:Original question:
     53
2
5
( t 8)( t 8) = -
8
5
t +
221
5
    Remove the bracket on the left of the equation:
     Left side of the equation = 53
2
5
t ( t 8) +
2
5
× 8( t 8)
                                             = 53
2
5
t ( t 8) +
16
5
( t 8)
                                             = 53
2
5
t t +
2
5
t × 8 +
16
5
( t 8)
                                             = 53
2
5
t t +
16
5
t +
16
5
( t 8)
                                             = 53
2
5
t t +
16
5
t +
16
5
t
16
5
× 8
                                             = 53
2
5
t t +
16
5
t +
16
5
t
128
5
                                             =
137
5
2
5
t t +
32
5
t
    The equation is transformed into :
     
137
5
2
5
t t +
32
5
t = -
8
5
t +
221
5

    The solution of the equation:
        t1≈2.384227 , keep 6 decimal places
        t2≈17.615773 , 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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