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