Answer:
(3,0) is the real solution.
Step-by-step explanation:
we have been given the equation:
[tex]6x=9+x^2[/tex]
We have to first write the given equation in standard form which is:
[tex]x^2-6x+9[/tex]
We will factorize the given quadratic equation by middle term splitting:
[tex]x^2-3x-3x+9[/tex]
[tex]\Rightarrow x(x-3)-3(x-3)[/tex]
[tex]\Rightarrow (x-3)(x-3)[/tex]
Hence, x=3,3 are the real solutions of the given equation
Please look at the attachment for the graphing.
