What are the solutions to the equation m^2-6m+3=0 ?

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

Find the zeros of m^2-6m+3=0

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

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m^{2} - 6 m + 3 = 0

m = 3 + 6, m = 3 - 6

Decimal

m = 5.44948 \dots, m = 0.55051 \dots

Solution steps

m^{2} - 6 m + 3 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot 3}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot 3 = 26

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

m = 3 + 6, m = 3 - 6

9 x^{2} + 60 x + 95 = - 5

- 6 x^{2} + 9 x - 7 = 0

2 x^{2} + 9 x - 56 = 0

3 = x^{2} - 4 x + 7

4 d^{2} - d - 7 = 2 d^{2}

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