CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If one of the zero of x2-3kx+4k is twice the other. Find the value of k. 


Solution

Dear student,
Let first zero of polynomial is P and 2nd is 2P.

sum of zeros = - (coefficient of x )/(coefficient of x²) 
P + 2P = - (-3K)/1 = 3K 
P = K ------(1)

again, 
product of zeros = constant/coefficient of x² 
P.2P = 4K/1 
2P² = 4K 
P² = 2K 
put equation (1) value 
(K)² = 2K 
K(K -2) = 0
K = 0, and 2
Thank you

flag
 Suggest corrections
thumbs-up
 
0 Upvotes



footer-image