Math, asked by Mandy3073, 1 year ago

Solve p2x2+(p2-q2)x-q2=0 by quadratic equation

Answers

Answered by exogenisis
3

Answer:


Step-by-step explanation:


Given quadratic equation is 



p²x² + ( p² - q² )x - q² = 0


dividing each term with p² ,


p²x² / p² + [ ( p² - q² ) / p² ] x - q² / p² = 0


⇒ x²  + [ 1 - q² / p² ] x - q² / p² = 0


 To find the roots split the middle term


⇒     x² + x - ( q² / p² ) x - q² / p² = 0


⇒  x ( x + 1 ) - ( q² / p² ) ( x + 1) = 0


⇒                ( x+ 1 ) ( x - q² /p² ) = 0


Therefore,


                x+1 =0  or  x - q² / p² =0


           x= -1 or       x  = q² / p²



Answered by Aaditya2003
9

Answer:

x=-1 or q²/p²

Step-by-step explanation:

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