G. Find the condition that one root of theadratic cquation ar + b0 is

1.	G. Find the condition that one root of theadratic cquation ar + b0 is the square ofthe other.
Answer» suppose one root is t and other root is t² . so, sum of root = t(t+1) = -b/a = t²+t = -b/a and also product = t*t² = t³ = c/a putting t= (c/a)⅓ => (c/a)⅓ [ (c/a)⅓ + 1] = -b/a=> (c/a)⅔ + (c/a)⅓ +b/a = 0

G. Find the condition that one root of theadratic cquation ar + b0 is the square ofthe other.

Answer»

suppose one root is t and other root is t² .

so, sum of root = t(t+1) = -b/a = t²+t = -b/a

and also product = t*t² = t³ = c/a putting t= (c/a)⅓

=> (c/a)⅓ [ (c/a)⅓ + 1] = -b/a=> (c/a)⅔ + (c/a)⅓ +b/a = 0