Question

If one root of quadratic equation x^2-8x+k=0 is 4+root3.find value of k

Answer 1

Answer:

One of the root of the equation is h+2  

6

​  

, then the other is h−2  

6

​  

 

Sum of the roots =h+2  

6

​  

+h−2  

6

​  

=6

2h=6⇒h=3

Product of the roots =(h+2  

6

​  

)(h−2  

6

​  

)=k

h  

2

−(2  

6

​  

)  

2

=k

9−24=k

⇒k=−15