What are the solutions to the equation x^2-6x+9=8 ?

The solutions to the equation x^2-6x+9=8 are x=3+2sqrt(2),x=3-2sqrt(2)

Find the zeros of x^2-6x+9=8

The zeros of x^2-6x+9=8 are x=3+2sqrt(2),x=3-2sqrt(2)

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x^{2} - 6 x + 9 = 8

x = 3 + 22, x = 3 - 22

Decimal Notation

x = 5.82842 \dots, x = 0.17157 \dots

Solution steps

x^{2} - 6 x + 9 = 8

Move

8

to the left side

x^{2} - 6 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot 1}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot 1 = 42

x_{1, 2} = \frac{- ( - 6 ) \pm 4 2}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 2}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 4 2}{2 \cdot 1}

x = \frac{- ( - 6 ) + 4 2}{2 \cdot 1} : 3 + 22

x = \frac{- ( - 6 ) - 4 2}{2 \cdot 1} : 3 - 22

The solutions to the quadratic equation are:

x = 3 + 22, x = 3 - 22

(x + 5)^{2} + (x - 8)^{2} = 25

(x - 3)^{2} - (2 x + 5)^{2} = - 26 x - 28

c^{2} - 9 c + 11 = 0

3 x^{2} - 6 = (x + 2) (x - 3)

8 f^{2} + 11 f = 2 f^{2} + 3 (2 f - 5) + 21

What are the solutions to the equation x^2-6x+9=8 ?
The solutions to the equation x^2-6x+9=8 are x=3+2sqrt(2),x=3-2sqrt(2)
Find the zeros of x^2-6x+9=8
The zeros of x^2-6x+9=8 are x=3+2sqrt(2),x=3-2sqrt(2)