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the square of a number equals nine times that number find the number brainly

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KAntoineDoixgo

✏️QUADRATIC

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Problem: The square of a number equals nine times that number find the number.

Solution: Translate the following statement into mathematical symbols.

  • [tex] x^2 = 9x [/tex]

  • [tex] x^2 - 9x = 0 [/tex]

» Factor the left side of the equation. Make two solution by this factors making them equal to zero.

  • [tex] x(x - 9) = 0 [/tex]

  • [tex] x = 0 \quad ; \quad x - 9 = 0 [/tex]

  • [tex] x = 0 \quad ; \quad x = 9 [/tex]

[tex] \therefore [/tex] The numbers are...

  • [tex] \large \underline{\boxed{\tt \purple{0 \: and \: 9}}} [/tex]

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