Solve the following question..

Dear Student,

L e t α a n d β b e t h e r o o t s o f t h e e q u a t i o n A s p e r t h e g i v e n c o n d i t i o n α = - β i . e α + β = 0 . . (i) I n q u a d r a t i c e q u a t i o n a x^{2} + b x + c = 0 S u m o f r o o t s, i . e α + β = \frac{- b}{a} G i v e n q u a d r a t i c e q u a t i o n i s 25 x^{2} - x (a - 2) - 1 = 0 . T h u s s u m o f r o o t s, i . e α + β = \frac{a - 2}{25} B u t α + β = 0 (F r o m i) i . e \frac{a - 2}{25} = 0 i . e a - 2 = 0, i . e a = 2

Regards.