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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation （x−7）（x−4） = 0 .
    Question type: Equation
    Solution:Original question:

(

x

−

7

)

(

x

−

4

)

=

0

    Remove the bracket on the left of the equation:

Left side of the equation =

x

(

x

−

4

)

−

7

(

x

−

4

)

=

x

x

−

x

×

4

−

7

(

x

−

4

)

=

x

x

−

4

x

−

7

x

+

7

×

4

=

x

x

−

4

x

−

7

x

+

28

=

x

x

−

11

x

+

28

    The equation is transformed into :

x

x

−

11

x

+

28

=

0

    After the equation is converted into a general formula, it is converted into:
    ( x - 4 )( x - 7 )=0
    From
        x - 4 = 0
        x - 7 = 0
    it is concluded that:：
        x₁=4
        x₂=7    
    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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