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Find the value of k for …

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Find the value of k for which the roots of the equation 3x2-10x+k=0 are reciprocal of each other.

Posted by Sristi Pandey 6 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Sanket Arjun 6 years, 4 months ago

K=3

0Thank You

Gaurav Seth 6 years, 4 months ago

Answer:

The value of k is 3.

Step-by-step explanation:

The given quadratic equation is

It is given that one root of this quadratic equation is reciprocal of the other.

Let the roots be .

We know that,

....(1)

....(2)

Using equation (2) we get

Multiply both sides by 3.

Therefore the value of k is 3.

2Thank You

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Posted by Kanika . 1 month ago

CBSE > Class 10 > Mathematics