Question

X^2-(3+sqrt(5))X+3 sqrt(5)

Answer 1

X^2-(3+sqrt(5))X+3 sqrt(5)=0

замена 

a= sqrt(5)

 X^2-(3+a)X+3*a=0 

D=9+6a+a^2-4*3a=a^2-6a+9=(a-3)^2                    

x1=(3+2a-3)/2=a

x2=(3+a-a+3)/2=3

обр зам

x1=sqrt(5)

x2=3

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Answer 2

The expression you provided is a quadratic equation in the form of $ax^2 + bx + c$. Let's break down the equation:

$x^2 - (3 + \sqrt{5})x + 3\sqrt{5}$

In this equation:

• $a = 1$ (coefficient of $x^2$)
• $b = -(3 + \sqrt{5})$ (coefficient of $x$)
• $c = 3\sqrt{5}$ (constant term)

Please let me know if you have any specific questions or if there's anything else I can assist you with!