Question

If alpha and beta are the zeroes of thr polynomial f(x)=x^2-5x+k S.t. alpha × beta=1 , find the value of k.​

Answer 1

Given:

F(x) = x²-5x+k .

$\: \alpha \beta = 1$

To find :

• The value of k

Solution:

•F(x)= x²-5x+k

Here ,

• a = 1

• b= -5

•c= k .

As we know that:

$\star \bold{ \alpha \beta = \frac{c}{a} }$

$\implies \: \alpha \beta = 1 \\ \\ \implies \: \frac{c}{a} = 1 \\ \\ \implies \: \frac{k}{1} = 1 \\ \\ \implies \: k = 1$

Hence ,the value of k is 1.

Answer 2

Answer:

f{x}= x^2-5x+k

alpha beta = 1

c/a= 1

k/1= 1

k=1