Question

Find the value of k for which the roots of the equations 3x^2_10x+k=0 are reciprocal of each other.

Answer 1

Answer:

k = 3

Step-by-step explanation:

Given in the question the equation:

3x² - 10x + k = 0

suppose 1st root of this equation is r

so as stated in the question, second root of this equation will be 1/r

Adding the roots gives = −b/a

Multiplying the roots gives =  c/a

a        b       c

3x² - 10x + k = 0

r x 1 / r = c / a

r / r = k / 3

1 = k / 3

3 = k

Answer 2

Answer:

Step-by-step explanation: