What are the solutions to the equation s^2+10s+5=0 ?

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

Find the zeros of s^2+10s+5=0

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

s^{2} + 10 s + 5 = 0

s = - 5 + 25, s = - 5 - 25

Decimal Notation

s = - 0.52786 \dots, s = - 9.47213 \dots

Solution steps

s^{2} + 10 s + 5 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 5}{2 \cdot 1}

1 0^{2} - 4 \cdot 1 \cdot 5 = 45

s_{1, 2} = \frac{- 10 \pm 4 5}{2 \cdot 1}

Separate the solutions

s_{1} = \frac{- 10 + 4 5}{2 \cdot 1}, s_{2} = \frac{- 10 - 4 5}{2 \cdot 1}

s = \frac{- 10 + 4 5}{2 \cdot 1} : - 5 + 25

s = \frac{- 10 - 4 5}{2 \cdot 1} : - 5 - 25

The solutions to the quadratic equation are:

s = - 5 + 25, s = - 5 - 25

a (x) = 150 x^{2}

d^{2} + 1 = 0

(2 x - 1)^{2} - 25 = 0

3 (x + 1) (x - 3) = 0

2 x^{2} - 11 x = - 3

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