Question

what will be the quadratic equation if a=-2 and beta =-5​

Answer 1

Answer:

As,

α  

2

=5α−3⇒α  

2

−5α+3=0

β  

2

=5β−3⇒β  

2

−5β+3=0

Therefore, α,β are the roots of the equation

x  

2

=5x−3

x  

2

−5x+3=0

Now,  

β

α

​

+  

α

β

​

 

=  

α.β

α  

2

+β  

2

 

​

 

=  

α.β

(α+β)  

2

−2α.β

​

 

=  

3

25−6

​

 

=  

3

19

​

 

Hence,  

The required equation is  

x  

2

−  

3

19

​

x+1=0

3x  

2

−19x+3=0.

Step-by-step explanation: