Math, asked by kalyan121, 1 year ago

find the value of k if 2 is the one of the root of the quadratic equation X²- kx+6=0

Answers

Answered by Anonymous
7
k=5 see the pic for the ans
Attachments:
Answered by abhi569
7
Given that one root is 2 , 

x = 2 
=============================

putting the value of x in given equation,

x
² - kx + 6 = 0 

(2)
² - k(2) + 6 =0 

4 - 2k =  -6 

-2k =  - 6 - 4 

-2k = -10

2k =10 

k = 10/2 

k = 5 

abhi569: 3(-1/3)^2 - 5(-1/3) - 2 = 0
abhi569: 3(1/9) + 5/3 - 2 = 0
abhi569: 1/3 + 5/3 - 2 =0
abhi569: taking LCM, (1 + 5 - 6)/3 = 0
abhi569: (6 - 6)/3 = 0
abhi569: 0/3 = 0
abhi569: 0 = 0
abhi569: hence, 2 and -1/3 are roots.....hope it help s
abhi569: (-:
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