Question

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

Answer 1

Answer:

Step-by-step explanation:

Suppose the equation have roots and  3x² - 10x + k =0 have α roots and $\frac{1}{\alpha }$

In the equation;

  a = 3;   b = -10;  c = k

For the product of the roots we have;

$\alpha . \frac{1}{\alpha } = \frac{c}{\alpha } = \frac{k}{3}$

$1=\frac{k}{3}$

$k=3$

Answer 2

Answer:

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