What are the solutions to the equation 5x^2+10x+1=0 ?

The solutions to the equation 5x^2+10x+1=0 are x=(-5+2sqrt(5))/5 ,x=-(sqrt(5)+2)/(sqrt(5))

Find the zeros of 5x^2+10x+1=0

The zeros of 5x^2+10x+1=0 are x=(-5+2sqrt(5))/5 ,x=-(sqrt(5)+2)/(sqrt(5))

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5 x^{2} + 10 x + 1 = 0

x = \frac{- 5 + 2 5}{5}, x = - \frac{5 + 2}{5}

Decimal Notation

x = - 0.10557 \dots, x = - 1.89442 \dots

Solution steps

5 x^{2} + 10 x + 1 = 0

Solve with the quadratic formula

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

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

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

Separate the solutions

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

x = \frac{- 10 + 4 5}{2 \cdot 5} : \frac{- 5 + 2 5}{5}

x = \frac{- 10 - 4 5}{2 \cdot 5} : - \frac{5 + 2}{5}

The solutions to the quadratic equation are:

x = \frac{- 5 + 2 5}{5}, x = - \frac{5 + 2}{5}

a^{2} - 84 = - 3

x^{2} + (x + 1)^{2} = 61

- 6 x < 30

2 4^{\frac{3}{2}}

12 y^{2} - 58 y - 70

What are the solutions to the equation 5x^2+10x+1=0 ?
The solutions to the equation 5x^2+10x+1=0 are x=(-5+2sqrt(5))/5 ,x=-(sqrt(5)+2)/(sqrt(5))
Find the zeros of 5x^2+10x+1=0
The zeros of 5x^2+10x+1=0 are x=(-5+2sqrt(5))/5 ,x=-(sqrt(5)+2)/(sqrt(5))