Question

Find the value of for which zeroes of quadratic polynomial kx^2+3x+5 are reciprocal of each other

Answer 1

heya!!

we know,

for a quadratic polynomial,

product of zeroes = constant term ÷ coefficient of x²

Answer 2

Hi friend, Harish here.

Here is your answer:

Given that.

1) An expression kx² + 3x + 5.

2) The roots are reciprocal of each other.

To find,

The value of k.

Solution:

Let the roots be :   $\alpha \ and \ \frac{1}{ \alpha }$

Then, We know that,

$Product\ of\ roots = \frac{c}{a}$

Here c = 5 & a = k

Then,

⇒ $\alpha \times \frac{1}{ \alpha } = \frac{5}{k}$

⇒ $1 = \frac{5}{k}$

⇒ $k = 5.$

Therefore the value of k is 5.
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Hope my answer is helpful to you.