Question

if p(x) = ax² + bx + c = 0 then the value of 0 is :
a) -b/a
b) c/a
c) b/c
d) none of these​

Answer 1

Answer:

none of these

good morning friend

Answer 2

Answer:

⇒  The given quadratic equation is ax  

2

+bx+c=0

⇒  Let two roots be α and β.

⇒  α=−β                     [ Given ]

⇒  α+β−  

a

−b

​  

 

⇒  −β+β=  

a

−−b

​  

 

⇒  0=  

a

−b

​  

 

∴  b=0                            ------- ( 1 )

We have one root negative so,

∴  αβ<0

∴    

a

c

​  

<0

So, here either c or a will be negative.

Means, a and c  will be having opposite sign.  

a>0,c<0 or c>0,a<0 and b=0.

In options we can see option C satisfy all the conditions.

∴  Posibble conditions are a>0,b=0,c<0

Step-by-step explanation: