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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 1/2x(x-1) = 15 .
    Question type: Equation
    Solution:Original question:

1

÷

2

×

x

(

x

−

1

)

=

15

Left side of the equation =

1 2

x

(

x

−

1

)

    The equation is transformed into :

1 2

x

(

x

−

1

)

=

15

    Remove the bracket on the left of the equation:

Left side of the equation =

1 2

x

x

−

1 2

x

×

1

=

1 2

x

x

−

1 2

x

    The equation is transformed into :

1 2

x

x

−

1 2

x

=

15

    After the equation is converted into a general formula, it is converted into:
    ( x + 5 )( x - 6 )=0
    From
        x + 5 = 0
        x - 6 = 0
    it is concluded that:：
        x₁=-5
        x₂=6    
    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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