Question

If one zero of 2x^2 - 3x + k is reciprocal to the other, then find the value of k.

​

Answer 1

Given a quadratic equation:2x² – 3x + k

Also given one of the zeros of 2x² – 3x + k is reciprocal to the other,

We need to find the value of k.

Solution :

Let us assume that one zeros of the given quadratic equationbe(2x² – 3x + k) be α

Hence the other zero is reciprocal of the zero. So the other zero is 1/α

As per the given equation

a = 2 b = -3 c = k

So, α x 1/α = c/a

1 = k/2

k = 2

The value of k is 2 .

Answer 2

Answer:

p(x)=2x²-3x+k

a=2

b=-3

c=k

let the zeroes be α and 1/α

product of zeroes=c/a

α(1/α)=k/2

1=k/2

k=2