adriana2422 adriana2422
  • 16-05-2022
  • Mathematics
contestada

6 times a number is 16 less than the square of that number. Find the positive solution.

Respuesta :

alfredlim29448 alfredlim29448
  • 20-05-2022

Answer:

x=8

Step-by-step explanation:

Let's say this mystery number is x.

6 times this x is 16 less than the square of x so we can write this as:

[tex]6x = x^2 - 16[/tex]

We can then re-arrange this into a quadratic and simplify it so:

[tex]x^2 -6x-16 =0[/tex]

[tex](x-8)(x+2)[/tex]

x=8, x=-2

And since the question is asking for the positive solution,
x=8

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