What are the solutions to the equation x^2+13x+11=0 ?

The solutions to the equation x^2+13x+11=0 are x=(-13+5sqrt(5))/2 ,x=(-13-5sqrt(5))/2

Find the zeros of x^2+13x+11=0

The zeros of x^2+13x+11=0 are x=(-13+5sqrt(5))/2 ,x=(-13-5sqrt(5))/2

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x^{2} + 13 x + 11 = 0

x = \frac{- 13 + 5 5}{2}, x = \frac{- 13 - 5 5}{2}

Decimal Notation

x = - 0.90983 \dots, x = - 12.09016 \dots

Solution steps

x^{2} + 13 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 13 \pm 1 3 ^{2} - 4 \cdot 1 \cdot 11}{2 \cdot 1}

1 3^{2} - 4 \cdot 1 \cdot 11 = 55

x_{1, 2} = \frac{- 13 \pm 5 5}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 13 + 5 5}{2 \cdot 1}, x_{2} = \frac{- 13 - 5 5}{2 \cdot 1}

x = \frac{- 13 + 5 5}{2 \cdot 1} : \frac{- 13 + 5 5}{2}

x = \frac{- 13 - 5 5}{2 \cdot 1} : \frac{- 13 - 5 5}{2}

The solutions to the quadratic equation are:

x = \frac{- 13 + 5 5}{2}, x = \frac{- 13 - 5 5}{2}

\frac{17}{15} - \frac{1}{3}

2 x < 10 or \frac{x}{2} \geq 3

\frac{3}{3 - 3}

(2)^{- 3}

\frac{5}{x + 8} < 0

What are the solutions to the equation x^2+13x+11=0 ?
The solutions to the equation x^2+13x+11=0 are x=(-13+5sqrt(5))/2 ,x=(-13-5sqrt(5))/2
Find the zeros of x^2+13x+11=0
The zeros of x^2+13x+11=0 are x=(-13+5sqrt(5))/2 ,x=(-13-5sqrt(5))/2