Question

The quadratic equation: x2 + 10x + 25 = 0 the roots are P and Q, find P + Q, P-Q, PxQ, P2 + Q2, P3xQ3?

Answer 1

Hey there!

x² + 10x + 25 = 0
(x + 5)² = 0
Twin roots =  - 5
P = - 5
Q = - 5

P + Q = - 10
P - Q = 0
P² + Q² = 25 + 25 = 50
P³ x Q³ = - 125 x - 125 = 15625

Hope it helps you!

Answer 2

HELLO FRIENDS ,

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Given equation ,
  $x^{2}$ + 10x + 25 = 0
⇒$x^{2}$ + 5x + 5x + 25 = 0 (spliting middle term)
   x (x+ 5) + 5 (x + 5) = 0
   (x + 5) * (x + 5) = 0
⇒x = -5 , -5    
So both roots are same
I.e P= -5
     Q= -5

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P + Q = - 10

P - Q = 0

P² + Q² = 25 + 25
             = 50

P³ x Q³ = - 125 x - 125  
             = 15625

hope it will help u.
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Best of luck ;)
ROYALJATT