17th 17 The value of p and q (p ≠ 0, q ≠ 0) for which p, - Maths - Complex Numbers and Quadratic Equations

Question

17th

17   T h e   v a l u e   o f   p   a n d
  q   ( p   ≠   0 ,   q  
≠   0 )     f o r   w h i c h   p ,
  q   a r e   t h e   r o o t s   o f
  t h e   e q u a t i o n   x 2   +   p x
  +   q   a b   =   0   a r e  
( a )     p   =   1 ,   q   =  
- 2                  
                 
                 
                 
    ( b )     p =   - 1 ,   q  
=   - 2 ( c )     p   =   - 1 ,   q
  =   2              
                 
                 
                 
        ( d )     p   =   1
,   q   =   2

Shivam Mishra · Accepted Answer

Dear Student,
Please find below the solution to the asked query:

Equation is x2+px+q=0 and roots are p and q  ab is misprinted in the equationProduct of roots=q⇒pq=q⇒p=1Sum of roots=-p⇒p+q=-p⇒1+q=-1⇒q=-2Hence p=1 and q=-2

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17th 17 . T h e v a l u e o f p a n d q ( p ≠ 0 , q ≠ 0 ) f o r w h i c h p , q a r e t h e r o o t s o f t h e e q u a t i o n x 2 + p x + q a b = 0 a r e ( a ) p = 1 , q = - 2 ( b ) p = - 1 , q = - 2 ( c ) p = - 1 , q = 2 ( d ) p = 1 , q = 2

17th

$17 . T h e v a l u e o f p a n d q (p \neq 0, q \neq 0) f o r w h i c h p, q a r e t h e r o o t s o f t h e e q u a t i o n x^{2} + p x + q a b = 0 a r e (a) p = 1, q = - 2 (b) p = - 1, q = - 2 (c) p = - 1, q = 2 (d) p = 1, q = 2$