Question

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

• A. (5 ± 1)/6
• B. (5 ± 2)/6
• C. (4 ± 1)/6
• D. (7 ± 1)/6

Answer 1

The correct option is A

(5 ± 1)/6

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