Question

if one zero of polynomial 3x2-8x-(2k+1) is seven times the other find both zeroes and value of k ...this is question of class 10th ..plz try to solve it as soon as possible it's urgent.​i will definitely mark u as brainlist.​

Answer 1

Step-by-step explanation:

Let the zeroes of the eq. be m,n

Let n=7m

Standard equation of quadratic equation is : ax²+bx+c

-b/a = sum of zeroes

c/a = product if zeroes

Here , a=3,b= -8,c= -(2k+1)

m+n = m+7m = 8m = -(-8)/3 = 8/3

Therefore m = 1/3

n = 7/3

mn = 7/3 × 1/3 = 7/9 = -(2k+1)/3

7/9 = -2k-1/3

7×3/9 = -2k-1

7/3 = -2k-1

7/3 + 1 = -2k

10/3 = -2k

Therefore k = 10/-6 = -5/3