Question

Form the quadratic equation from the roots given below.
2-√5, 2+√5​

Answer 1

Answer:

2−  

5

​  

,2+  

5

​  

 

Sum of roots = 2−  

5

​  

+2+  

5

​  

=4

Product of roots = (2−  

5

​  

)×(2+  

5

​  

)=−1

The general form of the quadratic equation is x  

2

−(Sum of roots)x+Product of roots=0

So, the quadratic equation obtained is x  

2

−(4)x+(−1)=0

⇒x  

2

−4x−1=0

Step-by-step explanation:

Answer 2

PLEASE SEE THE ATTACHMENT