Question

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

Answer 1

Answer: it's c...

Explanation:

i awnsered it and got it right on the test

Answer 2

we have

`x^(2)=9x+ 6`

Group terms that contain the same variable, and move the constant to the opposite side of the equation

`x^(2)-9x=6`

Complete the square. Remember to balance the equation by adding the same constants to each side

`x^(2)-9x+4.5^(2)=6+4.5^(2)`

`x^(2)-9x+20.25=6+20.25`

`x^(2)-9x+20.25=26.25`

Rewrite as perfect squares

`(x-4.5)^(2)=26.25`

`(x-4.5)=(+/-)√(26.25)\\ \\x1=4.5+√(26.25)=9.623\\x2=4.5-√(26.25)=-0.623`

therefore

the answer is

`x1=4.5+√(26.25)=9.623`

`x2=4.5-√(26.25)=-0.623`