Question

Which are the solutions of he quadratic equation ? x2 = 9x + 6

Answer 1

Put everything on the same side of the equals sign and set it equal to zero so you can factor it.
`x^(2) -9x-6=0`. In order to factor that you have no choice really but to put it into the quadratic formula. When you do that you find that your zeros are x = 9.623475383 and -.623475383

Answer 2

`x=(9\pm √(105))/(2)`

Explanation:

We have been given a quadratic equation
`x^2=9x+6`. We are asked to find the solutions of our given equation.

First of all, we will gather all terms on one side of equation as:

`x^2-9x-6=9x-9x+6-6`

`x^2-9x-6=0`

Now, we will use quadratic formula to solve for x as:

`x=(-b\pm √(b^2-4ac))/(2a)`

`x=(-(-9)\pm √((-9)^2-4(1)(-6)))/(2(1))`

`x=(9\pm √(81+24))/(2)`

`x=(9\pm √(105))/(2)`

Therefore, the solutions of our given equation are
`x=(9\pm √(105))/(2)`.