Question

Which of the following is set of the roots of the equation, $3x^2-5=0?$

• A. $\{\sqrt{\frac{5}{3}},\sqrt{\frac{3}{5}}\}$
• B. $\{-\sqrt{\frac{5}{3}},-\sqrt{\frac{3}{5}}\}$
• C. $\{\sqrt{\frac{5}{3}},-\sqrt{\frac{5}{3}}\}$
• D. $\{\sqrt{\frac{3}{5}},-\sqrt{\frac{3}{5}}\}$

Answer 1

The correct option is C $\{\sqrt{\frac{5}{3}},-\sqrt{\frac{5}{3}}\}$

Given equation is $3x^2-5=0$.
An equation of the form $a{x}^2+bx+c=0$ when $b=0$ has roots $\pm \sqrt{\frac{-c}{a}}$.
In the given equation, $b=0$,
$\Rightarrow$ the roots are $\pm \sqrt{\frac{5}{3}}$