Question

please answer this question I will mark it brainlist answer​

Answer 1

Given :

• α and 1/α are zeroes of the polynomial : 4x² - 2x + (k - 4)

To Find :

• Value of k.

Solution :

Compare the given polynomial with general form.

General form :

• ax² + bx + c = 0

Values of variables :

• a = 4
• b = - 2
• c = k - 4

✪ Since, we see that k is along with the value of variable c and we know c is used in the relation of products of roots, so let's use it.

Product of zeroes :

➣ $\mathtt{\dfrac{1}{\alpha}\:\times\:\alpha\:=\:{\dfrac{c}{a}}}$

➣ $\mathtt{1\:=\:{\dfrac{(k-4)}{4}}}$

➣ $\mathtt{4\:=\:(k-4)}$

➣ $\mathtt{4\:+\:4\:=\:k}$

➣ $\mathtt{k\:=\:8}$

$\large{\boxed{\mathtt{\red{Value\:of\:k\:=\:8}}}}$

Answer 2

Answer:

the value of k is 8.

refer to the attachment for the solution.

if it helps you then please mark as brainliest.