Question

Find the real solutions of the equation by graphing. 6x=9+x^2

Answer 1

The solution of the equation is 3.

Answer 2

(3,0) is the real solution.

Explanation:

we have been given the equation:

`6x=9+x^2`

We have to first write the given equation in standard form which is:

`x^2-6x+9`

We will factorize the given quadratic equation by middle term splitting:

`x^2-3x-3x+9`

`\Rightarrow x(x-3)-3(x-3)`

`\Rightarrow (x-3)(x-3)`

Hence, x=3,3 are the real solutions of the given equation

Please look at the attachment for the graphing.