DaviiNegron DaviiNegron
  • 03-10-2018
  • Mathematics
contestada

The square of 9 less than a number is 3 less than the number. What is the number?

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MatthewSJ1234
MatthewSJ1234 MatthewSJ1234
  • 03-10-2018
You have to create the equation.
The number is a variable (x).
[tex] \sqrt{9} < x = 3 < x[/tex]
Answer Link
pinquancaro pinquancaro
  • 24-06-2019

Answer:

The number is 12 or 7.

Step-by-step explanation:

According to question,

The square of 9 less than a number is 3 less than the number.

i.e. [tex](x - 9)^2 = x - 3[/tex]

Solving the equation,

[tex]x^2 - 18x + 81= x - 3[/tex]

[tex]x^2 - 19x + 84 = 0 [/tex]

[tex](x - 12)(x - 7) = 0 [/tex]

[tex](x - 12)=0,(x - 7) = 0 [/tex]

[tex]x=12,7 [/tex]

Therefore, The number is 12 or 7.

Answer Link

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