Question

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


options
(7±1)/6
(4±1)/ 6
(5±2)/ 6
(5±1)/ 6​

Answer 1

Answer:

(d)(5±1)/6

Step-by-step explanation:

Given a quadratic eqn such that,

$3 {x}^{2} - 5x + 2 = 0$

To find the roots.

We have to follow the quadratic formula.

Here, we have,

• a = 3
• b = -5
• c = 2

Therefore, we have,

=> D = (b^2-4ac)

=> D = ((-5)^2-4(3)(2))

=> D = (25 - 24)

=> D = 1

Now, from quadratic formula, we have,

=> x = -b/2a ± √D/2a

Substituting the values, we get,

=> x = -(-5)/2(3) ± √1/2(3)

=> x = 5/6 ± 1/6

=> x = (5±1)/6

=> x = 6/6 and 4/6

=> x = 1 and 2/3

Hence, the correct answer is (d) (5±1)/6.