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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