Question

kindly kindly solve this in notebook page​

Answer 1

Step-by-step explanation:

ANSWER:-

Given:

If α and β are the roots of quadratic equation 3x² +kx+8 & α/β=2/3.

To find:

The value of k.

Explanation:

The given quadratic equation as compared with Ax² +Bx+C.

Therefore,

A= 3

B= k

C= 8

&

α and β are the roots of the above equation.

Given,

Now,

Sum of the zeroes:

α+β=

Or

α+β=

α+β=

Therefore,

Putting the value of β in α value:

α=

Product of the zeroes:

αβ=

We have value ,

α= -2k/15

β= -k/5

So,

Thus,

The value of k is 10

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