What are the solutions to the equation x^2-12x+6=0 ?

The solutions to the equation x^2-12x+6=0 are x=6+sqrt(30),x=6-sqrt(30)

Find the zeros of x^2-12x+6=0

The zeros of x^2-12x+6=0 are x=6+sqrt(30),x=6-sqrt(30)

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x^{2} - 12 x + 6 = 0

x = 6 + 30, x = 6 - 30

Decimal Notation

x = 11.47722 \dots, x = 0.52277 \dots

Solution steps

x^{2} - 12 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

(- 12)^{2} - 4 \cdot 1 \cdot 6 = 230

x_{1, 2} = \frac{- ( - 12 ) \pm 2 30}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 2 30}{2 \cdot 1}, x_{2} = \frac{- ( - 12 ) - 2 30}{2 \cdot 1}

x = \frac{- ( - 12 ) + 2 30}{2 \cdot 1} : 6 + 30

x = \frac{- ( - 12 ) - 2 30}{2 \cdot 1} : 6 - 30

The solutions to the quadratic equation are:

x = 6 + 30, x = 6 - 30

2 - x^{2} = x

x^{2} - 3 x

x^{2} + 8 x + 15 = 0

16 x^{2} + 16 x - 5 = 0

- 3 x^{2} + 3 = 0

What are the solutions to the equation x^2-12x+6=0 ?
The solutions to the equation x^2-12x+6=0 are x=6+sqrt(30),x=6-sqrt(30)
Find the zeros of x^2-12x+6=0
The zeros of x^2-12x+6=0 are x=6+sqrt(30),x=6-sqrt(30)