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

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

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

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

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

s = - 4 + 10, s = - 4 - 10

Decimal Notation

s = - 0.83772 \dots, s = - 7.16227 \dots

Solution steps

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

Solve with the quadratic formula

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

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

s = - 4 + 10, s = - 4 - 10

3 x^{2} + 5 x - 28 = 0

8 x^{2} + 8 x^{2} = 3

x (1 - x) = 8

5 x^{2} - 4 x + 5 = 0

x^{2} - 4 x + 13 = 0

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