Question

Х^2-6х+9=0 ПОМОГИТЕ ПОЖАЙЛУСТА!!!!!!

Answer 1

х^2-6х+9=0
а=1,в=-6,с=9
Д=$b^{2}$ - 4ас=(-6*-6) - 4* 1 *9=36-36=0 
х= -в/2а=6/2*1=3
Ответ: х=3

Answer 2

X^2-6x=0-9
x(x-6)=-9
x=0 или х-6=-9
х=-9+6
х=-3

Answer 3

Solving the Equation: x^2 - 6x + 9 = 0

To solve the equation x^2 - 6x + 9 = 0, we can use the quadratic formula or factorization method.

Method 1: Quadratic Formula

The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In the equation x^2 - 6x + 9 = 0, the coefficients are: - a = 1 - b = -6 - c = 9

Substituting these values into the quadratic formula, we get:

x = (-(-6) ± √((-6)^2 - 4 * 1 * 9)) / (2 * 1)

Simplifying further:

x = (6 ± √(36 - 36)) / 2

x = (6 ± √0) / 2

Since the discriminant (√(b^2 - 4ac)) is zero, there is only one solution for this equation.

x = 6 / 2

x = 3

Therefore, the solution to the equation x^2 - 6x + 9 = 0 is x = 3.

Method 2: Factorization

We can also solve the equation by factoring it.

The equation x^2 - 6x + 9 = 0 can be rewritten as:

(x - 3)(x - 3) = 0

This equation is satisfied when either (x - 3) = 0 or (x - 3) = 0.

Solving for x, we get:

x - 3 = 0

x = 3

Again, the solution to the equation x^2 - 6x + 9 = 0 is x = 3.

Therefore, the solution to the equation x^2 - 6x + 9 = 0 is x = 3.

Conclusion

The solution to the equation x^2 - 6x + 9 = 0 is x = 3.