Multiple choice

The following equation is a quadratic equation. $\sqrt{3}x^2 \, - \, 2x \, + \, \dfrac{1}{2} \, = 0.$(state true of false)

  1. True

  2. False
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A Correct answer
Explanation

The equation has the form ax^2 + bx + c = 0, with a = sqrt(3), which is nonzero. Therefore, it is a quadratic equation.

AI explanation

A quadratic equation is defined as an equation of the form ax^2 + bx + c = 0, where the coefficients can be any real numbers provided that a is not zero. The given equation has a highest power of two, and the coefficient of x^2 is the square root of 3, which is a valid non-zero real number. Thus, the statement is true.

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