Question

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

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

Answer 1

The correct option is A

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

Given, equation is 3x² – 5x + 2 = 0.

For the standard form of quadratic equation ax² + bx + c = 0,

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$.

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

$\therefore$ Roots of the quadratic equation 3x² – 5x + 2 = 0 are

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

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