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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 (5-x)(5-x)+5.76 = 16 .
    Question type: Equation
    Solution:Original question:
     (5 x )(5 x ) +
144
25
= 16
    Remove the bracket on the left of the equation:
     Left side of the equation = 5(5 x ) x (5 x ) +
144
25
                                             = 5 × 55 x x (5 x ) +
144
25
                                             = 255 x x (5 x ) +
144
25
                                             =
769
25
5 x x (5 x )
                                             =
769
25
5 x x × 5 + x x
                                             =
769
25
10 x + x x
    The equation is transformed into :
     
769
25
10 x + x x = 16

    After the equation is converted into a general formula, it is converted into:
    ( 5x - 9 )( 5x - 41 )=0
    From
        5x - 9 = 0
        5x - 41 = 0

    it is concluded that::
        x1=
9
5
        x2=
41
5
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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