Question

Solve for x. 6x-9=x²

Please teach me how to do this problem. Thanks ^_^

Answer 1

`6x-9=x^2\\x^2-6x+9=0\\(x-3)^2=0\\x-3=0\\x=3`

Answer 2

x=3

Explanation:

1) Move all the expressions to the left side of the equation.

6x−9−x2=0

2)Use the quadratic formula to find the solutions.

−b±√b2−4(ac)2a

3) Substitute the values a = − 1 , b = 6 , and c = − 9 into the quadratic formula and solve for x .

− 6 ± √ 6 2 − 4 ⋅ ( − 1 ⋅ − 9 ) 2 ⋅ − 1

4) Simplify.