Question

The set of roots of the equations $3x^2-5x-2=0$ can be written in roster form as

• A. $\left(-\frac{1}{3},2\right\}$
• B. $\left(-2,\frac{1}{3}\right\}$
• C. $\left(-2,-\frac{1}{3}\right\}$
• D. $(-\frac{1}{3},2)$

Answer 1

The correct option is A $\left(-\frac{1}{3},2\right\}$

Given the quadratic equation:
$3x^2-5x-2=0$
$\Rightarrow 3x^2-6x+x-2=0$
$\Rightarrow (3x+1)(x-2)=0$
$\Rightarrow x=-\frac{1}{3},2$
Hence, we can write the set as:
$\{-\frac{1}{3},2\}$