Question

Find the roots of 3x square - 5x + 2 equal to zero by using quadratic formula

Answer 1

Value of is 1 or 2/3

Answer 2

The roots of the equation $3x^{2} - 5x + 2 = 0$ are 1 and 2/3 respectively.

Given: The equation  $3x^{2} - 5x + 2 = 0$

To find: The roots of this equation.

Solution:  We have the equation, $3x^{2} - 5x + 2 = 0$

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

Putting these values on the equation,

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

By substituting values, we get

x = [- (-5) ± $\sqrt{25 - 4. 3.2}$ ] / 2.3

x = [5 ±√(25-24) ] / 6

x = [ 5± 1 ] / 6

x = [ 5 + 1] / 6 or x = [ 5 - 1] / 6

x = 6/6 or x = 4/6

x = 1 or x = 2/3

∴ the roots of the equation $3x^{2} - 5x + 2 = 0$ are 1 and 2/3.