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Find the value of k for which the roots of the equation 3x^2-10x+k=0 are reciprocal of each other.

 

 

 
 
 
 
 

Answers (1)

Suppose if the first root of the equation is m.

Then the second root =1/m

We know that product of quadratic equation =c/a\: \: -\left ( 1 \right )

From the equation,

Value of a=3,b=-10, & c=k

Putting the value in the eqn-(1)

m\times \frac{1}{m}= \frac{k}{3}

Hence the value of k=3.

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Safeer PP

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