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    Work: Find the solution of equation x2-90x-405 = 0 .
    Question type: Equation
    Solution:Original question:

x

×

2

−

90

x

−

405

=

0

Left side of the equation =

-

88

x

−

405

    The equation is transformed into :

-

88

x

−

405

=

0

    Transposition :

-

88

x

=

0

+

405

    Combine the items on the right of the equation:

-

88

x

=

405

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

-

405

=

88

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 :

88

x

=

-

405

    The coefficient of the unknown number is reduced to 1 :

x

=

-

405

÷

88

=

-

405

×

1 88

    We obtained :

x

=

-

405 88

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

- 4.602273

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