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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 (x+0.25)(x+0.25) = 9/16 .
    Question type: Equation
    Solution:Original question:
     ( x +
1
4
)( x +
1
4
) = 9 ÷ 16
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x +
1
4
) +
1
4
( x +
1
4
)
                                             = x x + x ×
1
4
+
1
4
( x +
1
4
)
                                             = x x +
1
4
x +
1
4
x +
1
4
×
1
4
                                             = x x +
1
4
x +
1
4
x +
1
16
                                             = x x +
1
2
x +
1
16
    The equation is transformed into :
      x x +
1
2
x +
1
16
= 9 ÷ 16
     Right side of the equation =
9
16
    The equation is transformed into :
      x x +
1
2
x +
1
16
=
9
16

    After the equation is converted into a general formula, it is converted into:
    ( x + 1 )( 2x - 1 )=0
    From
        x + 1 = 0
        2x - 1 = 0

    it is concluded that::
        x1=-1
        x2=
1
2
    
    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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