The correct solution of the given quadratic equation was found using the formula.
The given equation is:
[tex]9x+2=8x^{2} +6x[/tex]
[tex]8x^{2} +6x-9x-2=0[/tex]
[tex]8x^{2} -3x-2=0[/tex]....(1)
An equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].
We can solve equation (1) by the formula
[tex]x=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]
So, [tex]x=\frac{3+-\sqrt{(-3)^{2} -4(8)(-2)} }{2(8)}[/tex]
[tex]x=\frac{-3+-\sqrt{73} }{16}[/tex]
Hence, the correct solution of the given quadratic equation was found using the formula.
To get more about quadratic equations visit:
https://brainly.com/question/1214333
