Respuesta :

Answer:

x^2 = 9x

x^2 - 9x = 0

x(x-9) = 0

x=0 or x=9

Step-by-step explanation:

The number is 9.

Translate the statement into an equation, then solve for the unknown number.

Let the unknown number be represented as x.

Thus:

square of the number can be translated as [tex]x^{2}[/tex]

[tex]9 \times $ the $ number = 9x[/tex]

Therefore:

[tex]x^{2} = 9x[/tex]

Solve for x

[tex]x^{2} - 9x = 0[/tex]

Factorize

[tex]x(x - 9) = 0\\x = 0 $ or \\x - 9 = 0\\x = 9[/tex]

The unknown number cannot be 0, therefore, the number is 9.

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