Question

9. If one root of quadratic polynomial 2x² - 3x + k is reciprocal to the other, then find the value of k
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Answer 1

Step-by-step explanation:

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:

value of k = 2.13

Step-by-step explanation:

Let one zero of the polynomial 2x2 - 3x + k be α. So, the other zero is 1/α. The value of k is 2.13