Mathematics
         
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    Current location:Mathematical operation > History of Mathematical Computation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (x-3)(x-2)(x+4)(x+5)-60 = 0 .
    Question type: Equation
    Solution:Original question:
     ( x 3)( x 2)( x + 4)( x + 5)60 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x 2)( x + 4)( x + 5)3( x 2)( x + 4)( x + 5)60
                                             = x x ( x + 4)( x + 5) x × 2( x + 4)( x + 5)3( x 2)( x + 4)( x + 5)
                                             = x x x ( x + 5) + x x × 4( x + 5) x × 2( x + 4)( x + 5)
                                             = x x x x + x x x × 5 + x x × 4( x + 5)
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x
                                             = x x x x + x x x × 5 + x x × 4 x

    After the equation is converted into a general formula, there is a common factor:
    ( x + 3 )( x - 1 )
    From
        x + 3 = 0
        x - 1 = 0

    it is concluded that::
        x1=-3
        x2=1

    Solutions that cannot be obtained by factorization:
        x3≈-5.582576 , keep 6 decimal places
        x4≈3.582576 , keep 6 decimal places
    
    There are 4 solution(s).


解程的详细方法请参阅:《方程的解法》



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