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

The solutions to the equation m^2-6m+2=0 are m=3+sqrt(7),m=3-sqrt(7)

Find the zeros of m^2-6m+2=0

The zeros of m^2-6m+2=0 are m=3+sqrt(7),m=3-sqrt(7)

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m^{2} - 6 m + 2 = 0

m = 3 + 7, m = 3 - 7

Decimal Notation

m = 5.64575 \dots, m = 0.35424 \dots

Solution steps

m^{2} - 6 m + 2 = 0

Solve with the quadratic formula

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

(- 6)^{2} - 4 \cdot 1 \cdot 2 = 27

m_{1, 2} = \frac{- ( - 6 ) \pm 2 7}{2 \cdot 1}

Separate the solutions

m_{1} = \frac{- ( - 6 ) + 2 7}{2 \cdot 1}, m_{2} = \frac{- ( - 6 ) - 2 7}{2 \cdot 1}

m = \frac{- ( - 6 ) + 2 7}{2 \cdot 1} : 3 + 7

m = \frac{- ( - 6 ) - 2 7}{2 \cdot 1} : 3 - 7

The solutions to the quadratic equation are:

m = 3 + 7, m = 3 - 7

- 3 x^{2} - 42 x - 375 = - 12

(x - 6) (x - 10) = - 4

Q^{2} - 3092.8 Q + 120000 = 0

- 3 x^{2} - 18 x + 2 = 0

6 x - 12 = - 2 (x + 3) 2 + (2 x + 3) (x - 5)

What are the solutions to the equation m^2-6m+2=0 ?
The solutions to the equation m^2-6m+2=0 are m=3+sqrt(7),m=3-sqrt(7)
Find the zeros of m^2-6m+2=0
The zeros of m^2-6m+2=0 are m=3+sqrt(7),m=3-sqrt(7)