Question

If two equations has one common root then roots are

Answer 1

Answer:

Step-by-step explanation:

Given quadratic equations

x  

2

−cx+d=0         ....(1)

Let α,β be the roots of equation (1)  

x  

2

−ax+b=0         .....(2)

Let α,α be the roots of equation (2)

2α=a

α=  

2

a

​  

 

Also , α  

2

=b

Since, α is a root of (1),

α  

2

−cα+d=0

b+d=  

2

ac

​  

 

⇒2(b+d)=ac