Multiple choice

Which of the following are the roots of the equation x2 - 4 = 0?

    • 4, - 4
    • 2, - 4
    • 2, + 4
    • 2 and - 2
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D Correct answer
Explanation

x^2 - 4 = 0 implies x^2 = 4. Taking the square root of both sides gives x = 2 and x = -2.

AI explanation

To find the roots of the equation x2 - 4 = 0, we can factor it using the difference of squares identity as (x - 2)(x + 2) = 0. Setting each factor to zero gives x - 2 = 0 or x + 2 = 0. Solving these linear equations yields x = 2 and x = -2. The result is + 2 and - 2.

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