Question

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

Answer 1

Answer:

x^2-4x-1=0

Step-by-step explanation:

equation is to be

{x-(2-√5)}{x-(2+√5)}=0

{(x-2)+√5}{(x-2)-√5}=0

(x-2)^2-(√5)^2=0

x^2-4x+4-5=0

x^2-4x-1=0

Answer 2

Step-by-step explanation:

sum of the roots

2-√5,2+√5=4

product of the roots

(2-√5),(2+√5)= 4-5=-1

generally the form ofquadratic equation. x^2 -(4) x + (-1)

x^2 -4x-1=0