Question

if one root of the quadratic equation is 3 - 2 √5 what is the other √​

Answer 1

Answer:

Given that one root of the quadratic equation is 3−2  

5

​  

 

Since the coefficients of the quadratic equation are real , the other root must be 3+2  

5

​  

 

The sum of roots will be 3−2  

5

​  

+3+2  

5

​  

=6

The product of roots will be (3+2  

5

​  

)(3−2  

5

​  

)=9−20=−11

So the quadratic equation will be x  

2

−6x−11=0

hope it is helpful