What are the solutions to the equation m^2+8m+6=0 ?

The solutions to the equation m^2+8m+6=0 are m=-4+sqrt(10),m=-4-sqrt(10)

Find the zeros of m^2+8m+6=0

The zeros of m^2+8m+6=0 are m=-4+sqrt(10),m=-4-sqrt(10)

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m^{2} + 8 m + 6 = 0

m = - 4 + 10, m = - 4 - 10

Decimal Notation

m = - 0.83772 \dots, m = - 7.16227 \dots

Solution steps

m^{2} + 8 m + 6 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot 6}{2 \cdot 1}

8^{2} - 4 \cdot 1 \cdot 6 = 210

m_{1, 2} = \frac{- 8 \pm 2 10}{2 \cdot 1}

Separate the solutions

m_{1} = \frac{- 8 + 2 10}{2 \cdot 1}, m_{2} = \frac{- 8 - 2 10}{2 \cdot 1}

m = \frac{- 8 + 2 10}{2 \cdot 1} : - 4 + 10

m = \frac{- 8 - 2 10}{2 \cdot 1} : - 4 - 10

The solutions to the quadratic equation are:

m = - 4 + 10, m = - 4 - 10

8 x^{2} - 18 x + 7 = 0

5 x (x - 6) + 4 (x - 4) = - 7 x^{2} - 30

2 x^{2} - 28 x = - 98

5 x^{2} - 12 = 3 x^{2} + 20

3 x^{2} = 12 + 5 x

What are the solutions to the equation m^2+8m+6=0 ?
The solutions to the equation m^2+8m+6=0 are m=-4+sqrt(10),m=-4-sqrt(10)
Find the zeros of m^2+8m+6=0
The zeros of m^2+8m+6=0 are m=-4+sqrt(10),m=-4-sqrt(10)