Question

Find k if one zero kx²-x+1/3 is reciprocal of other

Answer 1

Answer:

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