if the two zeros of quadratic polynomial 7x²-15x-k are reciprocals of each other the value of k?

Asked by bhavikabhatia1125 | 3rd Aug, 2021, 10:29: PM

Expert Answer:

Let 'a' be one of the zeroes, then 1/a is the another zero.
Using the relation between zeroes and coefficients, we have

straight a plus 1 over straight a equals 15 over 7 space space and space space straight a cross times 1 over straight a equals negative straight k over 7
rightwards double arrow straight k equals negative 7

Answered by Renu Varma | 4th Aug, 2021, 11:33: AM