Respuesta :

x^2-5x-36 =0

=》(×+4)(x-9) =0

=》 x = 9 or -4

positive solution for x is 9

For this case we must find the positive solution of the following quadratic equation:

[tex]x ^ 2-5x-36 = 0[/tex]

To find the solutions we factor, that is, we look for two numbers that when multiplied give as result -36 and when summed give as result -5.

These are:

-9 and +4

[tex]-9 * 4 = -36\\-9 + 4 = -5[/tex]

So, we have:

[tex](x-9) (x + 4) = 0[/tex]

The roots are:

[tex]x_ {1} = 9\\x_ {2} = - 4[/tex]

The positive solution is 9.

Answer:

9