Question

if one root of 5 x square + 13 x + K equal to zero is the reciprocal of the Other root then find the value of k​

Answer 1

Answer:

Step-by-step explanation:

Given :

 The equation, $5x^2 + 13x + k = 0$ has two roots , such that one root is reciprocal of the other,.

To Find :

 The value of k

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Let the first root of the equation be $\alpha$

Then, the other will be reciprocal of the other . i.e., $\frac{1}{\alpha }$

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We know that,

Product of the roots of quadratic equation (i.e., equation of the form, ax² + bx + c = 0 ) is $\frac{c}{a}$

⇒ $(\alpha)(\frac{1}{\alpha } ) = \frac{k}{5}$

⇒ $1=\frac{k}{5}$ ⇒ k = 5.

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                         Hope it Helps!

Answer 2

Answer:

Step-by-step explanation: