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    Work: Find the solution of equation x2－5x＋10 = 0 .
    Question type: Equation
    Solution:Original question:

x

×

2

−

5

x

+

10

=

0

Left side of the equation =

-

3

x

+

10

    The equation is transformed into :

-

3

x

+

10

=

0

    Transposition :

-

3

x

=

0

−

10

    Combine the items on the right of the equation:

-

3

x

=

-

10

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :

10

=

3

x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :

3

x

=

10

    The coefficient of the unknown number is reduced to 1 :

x

=

10

÷

3

=

10

×

1 3

    We obtained :

x

=

10 3

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

3.333333

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