Math, asked by anjalishakshi975, 1 year ago

if the one root of 5x2+13x+k =0 is reciprocal of the other root ,then find value of k.

Answers

Answered by surya7972
38
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answer


We know that in a quadratic equation ax^2 + bx + c = 0

Product of roots = c/a

Here we have the equation 5x^2 + 13x + k = 0
Product of roots = k/5

Given that the roots are reciprocals of each other. So if one root is p, the other would be 1/p. So, their product will always be 1.

=> 1 = k/5
=> k = 5.

Hence, the value of k is 5.

anjalishakshi975: THANK YOU SO MUCH I HAVE BEEN TRYING SO LONG FOR THIS TYPE OF GOOD EXPLANATION OF THIS ANSWER FROM SOMEONE
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