Question

Find the roots of the $3x^2-5x+2=0$ quadratic equation, using the quadratic formula.

• A. $\frac{(7\pm 1)}{6}$
• B. $\frac{(5\pm 2)}{6}$
• C. $\frac{(5\pm 1)}{6}$
• D. $\frac{(4\pm 1)}{6}$

Answer 1

The correct option is C

$\frac{(5\pm 1)}{6}$

Quadratic equation of the form $a{x}^2+bx+c=0$
$x=\frac{-\left(5\right)\pm \sqrt{(-5{)}^2-4\times 3\times 2}}{2\times 3}x=\frac{5\pm \sqrt{25-24}}{6}=\frac{(5\pm 1)}{6}x=\frac{(5+1)}{6},\left(\frac{5-1}{6}\right)=1,\frac{2}{3}$