Question

Find the roots of the 3x² – 5x + 2 = 0 quadratic equation.

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Quadratic equation of the form ax² + bx + c = 0

The roots of the above quadratic equation will be $\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

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

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

$x=\frac{5\pm \sqrt{25-24}}{6}=\frac{(5\pm 1)}{6}$

$x=\frac{(5+1)}{6},\frac{(5-1)}{6}=1,\frac{2}{3}$