Question

for what value of k the roots of equation 3x²-10x+k=0 are reciprocal of each other 3x²-10x+k=0​

Answer 1

The value of K for which the roots of the equation 3x²-10x+k=0 are reciprocal of each other is equal to 3.

Let the roots of the equation 3x²-10x+k=0 be a , b.

Given that the roots of the equation are reciprocal (a=1/b) to each other, so the product of roots is equal to 1 .

ab = 1

The product of roots = k/3

=> 1 = k/3

=> k = 3

The value of k = 3