Question

If \(α,β\) are the roots of \(x^2-1=0\), then \(α+β=\)

• A. 0
• B. 1
• C. -1
• D. 2

Answer 1

The Correct Option is A

To solve the problem, we need to find the sum of the roots \( \alpha + \beta \) of the quadratic equation \( x^2 - 1 = 0 \).

1. Solving the Quadratic Equation:
The given quadratic equation is:
\[ x^2 - 1 = 0 \] This can be factored as:
\[ x^2 = 1 \quad \Rightarrow \quad x = \pm 1 \] So, the roots are \( \alpha = 1 \) and \( \beta = -1 \).

2. Finding the Sum of the Roots:
The sum of the roots is:
\[ \alpha + \beta = 1 + (-1) = 0 \]

Final Answer:
The sum of the roots \( \alpha + \beta \) is 0 (Option A).