Question

if one zero of 2 x square - 3 x + K is reciprocal to the other then find the value of k

Answer 1

Given Equation is 2x^2 - 3x + k.

Let the zeroes be 1 and 1/a.

Given that the roots are reciprocal.

Therefore the product of the roots = a * 1/a =  constant term/coefficient of x^2

                            1 = k/2

                              k = 2.

therefore the value of k = 2.

Hope this helps!

Answer 2

Let one root be v then another root will be 1/v

Given quadratic equation = 2x²-3x+k = 0

Comparing it with general quadratic equation, we get a = 2 , b = -3 , c = k

We know that Product of roots = v × 1/v = k/2

=> 1 = k/2

=> k = 2 .