Question

if one zero of 2x²-3x+k is reciprocal the other.find the value of k

Answer 1

Let the zeros of given polynomial

2x²-3x+k are ç and ß

we know that :-

now product of zeros = c/a
where c is the constant term and a is coffecient of x²
thus çß = k/2 ---------(2)

Now it is given that ç = 1/ß ---
substitute it in equation 2
we get k = 2

Answer 2

hey friends ☺

Given one zero of of polynomial is k

then it's raciprocal is 1/k

as you know the product of two zeroes is

@×bita =constant term/cofficient of x²

k×1/k=k/2

1=k/2

2=k.

Answer is 2. ..

hope it helps you .

#Rajukumar111