if one zeroes of the polynomial 3x^2-8x+2k+1is seven times the other then the value of k is

Asked by rimeelaad | 8th Sep, 2021, 12:10: PM

Expert Answer:

Let one of the zeroes be 'a'
So, the other zero is 7a.
Using the relation between the coefficients and zeroes of the polynomials, we have
straight a plus 7 straight a equals 8 over 3
rightwards double arrow 8 straight a equals 8 over 3
rightwards double arrow straight a equals 1 third
Also comma space
straight a cross times 1 over straight a equals fraction numerator 2 straight k plus 1 over denominator 3 end fraction
rightwards double arrow 2 straight k plus 1 equals 3
rightwards double arrow straight k equals 1

Answered by Renu Varma | 9th Sep, 2021, 12:25: AM