Question

Find the roots of the quadratic equation 3$x^2$ – 5x + 2 = 0 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 ax² + bx + c = 0

3$x^2$ – 5x + 2 = 0

a=3, b= -5 and c=2

x=$\frac{-\left(5\right)\pm \sqrt{(-5{)}^2-4\times 3\times 2}}{2\times 3}$

x=$\frac{5\pm \sqrt{25-24}}{6}$

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