Question

Solve for x using the quadratic formula: x² - 6x + 9 = 0

X=
-b± √b²-4ac
2a
Ox=6
Ox=3
Ox=1
Ox=0

Answer 1

`\huge{ \boxed{x = 3}}`

Explanation:

`{x}^(2) - 6x + 9 = 0`

Using the quadratic formula that's,

`\bold{x = \frac{ - b \pm \sqrt{ {b}^(2) - 4ac } }{2a}} \\`

Comparing the equation to the general form of a quadratic equation ( ax² + bx + c), we have.

`a = 1 \\ b = - 6 \\ c = 9`

Substituting the values into the formula we have.

`x = \frac{- ( -6) \pm \sqrt{( - {6})^(2) - 4(1)(9) } }{2(1)} \\ x = (6 \pm √(36 - 36) )/(2) \\ x = ( 6 \pm√(0) )/(2) \\ x = (6)/(2) \: \: \: \: \: \\ \\ x = 3 \: \: \: \: \: \: \: \: \: \: \: \: \:`

We have the final answer as

x = 3