Question

3. If one root of an equation is 3 + √5 , then the quadratic equation is​

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

Step-by-step explanation: