text: # Solve the following
  
  Question:
  
  $\sqrt{5} x^{2}+x+\sqrt{5}=0$
  
  Solution:
  
  Given: $\sqrt{5} x^{2}+x+\sqrt{5}=0$
  
  Comparing the given equation with the general form of the quadratic equation $a x^{2}+b x+c=0$, we get $a=\sqrt{5}, b=1$ and $c=\sqrt{5}$.
  
  Substituting these values in $\alpha=\frac{-b+\sqrt{b^{2}-4 a c}}{2 a}$ and $\beta=\frac{-b-\sqrt{b^{2}-4 a c}}{2 a}$, we get:
  
  $\alpha=\frac{-1+\sqrt{1-4 \times \sqrt{5} \times \sqrt{5}}}{2 \sqrt{5}}$ and $\quad \beta=\frac{-1-\sqrt{1-4 \times \sqrt{5} \times \sqrt{5}}}{2 \sqrt{5}}$
  
  $\alpha=\frac{-1+\sqrt{-19}}{2 \sqrt{5}} \quad$ and $\quad \beta=\frac{-1-\sqrt{-19}}{2 \sqrt{5}}$
  
  $\alpha=\frac{-1+i \sqrt{19}}{2 \sqrt{5}} \quad$ and $\quad \beta=\frac{-1-i \sqrt{19}}{2 \sqrt{5}}$
  
  Hence, the roots of the equation are $\frac{-1 \pm i \sqrt{19}}{2 \sqrt{5}}$.
explanation: The document contains a math question and its corresponding solution. The question is to solve the quadratic equation \(\sqrt{5} x^{2} + x + \sqrt{5} = 0\), and the solution provides the roots of the equation.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Solve the following
  
  Question:
  
  $\sqrt{5} x^{2}+x+\sqrt{5}=0$
  
  Solution:
  
  Given: $\sqrt{5} x^{2}+x+\sqrt{5}=0$
  
  Comparing the given equation with the general form of the quadratic equation $a x^{2}+b x+c=0$, we get $a=\sqrt{5}, b=1$ and $c=\sqrt{5}$.
  
  Substituting these values in $\alpha=\frac{-b+\sqrt{b^{2}-4 a c}}{2 a}$ and $\beta=\frac{-b-\sqrt{b^{2}-4 a c}}{2 a}$, we get:
  
  $\alpha=\frac{-1+\sqrt{1-4 \times \sqrt{5} \times \sqrt{5}}}{2 \sqrt{5}}$ and $\quad \beta=\frac{-1-\sqrt{1-4 \times \sqrt{5} \times \sqrt{5}}}{2 \sqrt{5}}$
  
  $\alpha=\frac{-1+\sqrt{-19}}{2 \sqrt{5}} \quad$ and $\quad \beta=\frac{-1-\sqrt{-19}}{2 \sqrt{5}}$
  
  $\alpha=\frac{-1+i \sqrt{19}}{2 \sqrt{5}} \quad$ and $\quad \beta=\frac{-1-i \sqrt{19}}{2 \sqrt{5}}$
  
  Hence, the roots of the equation are $\frac{-1 \pm i \sqrt{19}}{2 \sqrt{5}}$.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and its corresponding solution. The question is to solve the quadratic equation \(\sqrt{5} x^{2} + x + \sqrt{5} = 0\), and the solution provides the roots of the equation.
  
  Label: question-and-answer