What are the solutions to the equation s^2+10s+8=0 ?

The solutions to the equation s^2+10s+8=0 are s=-5+sqrt(17),s=-5-sqrt(17)

Find the zeros of s^2+10s+8=0

The zeros of s^2+10s+8=0 are s=-5+sqrt(17),s=-5-sqrt(17)

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s^{2} + 10 s + 8 = 0

s = - 5 + 17, s = - 5 - 17

Decimal Notation

s = - 0.87689 \dots, s = - 9.12310 \dots

Solution steps

s^{2} + 10 s + 8 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 8}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot 8 = 217

s_{1, 2} = \frac{- 10 \pm 2 17}{2 \cdot 1}

Separate the solutions

s_{1} = \frac{- 10 + 2 17}{2 \cdot 1}, s_{2} = \frac{- 10 - 2 17}{2 \cdot 1}

s = \frac{- 10 + 2 17}{2 \cdot 1} : - 5 + 17

s = \frac{- 10 - 2 17}{2 \cdot 1} : - 5 - 17

The solutions to the quadratic equation are:

s = - 5 + 17, s = - 5 - 17

0 = - \frac{0.5}{2} + \frac{( x - 0.5 ) ^{2}}{3}

3 (6 x - 5) - (6 x - 5)^{2} = 0

3 (x + 8)^{2} - 12 = 24

7 x^{2} - 18 x + 12 = 0

x - 2 x^{2} = 0

What are the solutions to the equation s^2+10s+8=0 ?
The solutions to the equation s^2+10s+8=0 are s=-5+sqrt(17),s=-5-sqrt(17)
Find the zeros of s^2+10s+8=0
The zeros of s^2+10s+8=0 are s=-5+sqrt(17),s=-5-sqrt(17)