Question

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

Answer 1

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

$(x-4.5)^{2}=26.25$

$(x-4.5)=(+/-)\sqrt{26.25}\\ \\x1=4.5+\sqrt{26.25}=9.623\\x2=4.5-\sqrt{26.25}=-0.623$

therefore

the answer is

$x1=4.5+\sqrt{26.25}=9.623$

$x2=4.5-\sqrt{26.25}=-0.623$

Answer 2

Answer: it's c...

Step-by-step explanation:

i awnsered it and got it right on the test