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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (x-16)(x-32) = 960 .
    Question type: Equation
    Solution:Original question:

(

x

−

16

)

(

x

−

32

)

=

960

    Remove the bracket on the left of the equation:

Left side of the equation =

x

(

x

−

32

)

−

16

(

x

−

32

)

=

x

x

−

x

×

32

−

16

(

x

−

32

)

=

x

x

−

32

x

−

16

x

+

16

×

32

=

x

x

−

32

x

−

16

x

+

512

=

x

x

−

48

x

+

512

    The equation is transformed into :

x

x

−

48

x

+

512

=

960

    After the equation is converted into a general formula, it is converted into:
    ( x + 8 )( x - 56 )=0
    From
        x + 8 = 0
        x - 56 = 0
    it is concluded that:：
        x₁=-8
        x₂=56    
    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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