19th question 19 If the ratio of the roots of the equation ax2 + bx - Maths - Quadratic Equations

Question

19th question

19       I f   t h e   r a t i o   o
f   t h e   r o o t s   o f   t h e   e q
u a t i o n   a x 2   +   b x   +   c
  =   0   i s   r ,   t h e n   p r o
v e   t h a t   r   +   1 2 r   =   b
2 a c

Brijendra Pal · Accepted Answer

Hi,
refer the similar link:
https://www meritnation
com/ask-answer/question/if-r-is-the-ratio-of-the-roots-of-the-quadratic-eqquation-ax/complex-numbers-and-quadratic-equations/2620044

19th question 19 . I f t h e r a t i o o f t h e r o o t s o f t h e e q u a t i o n a x 2 + b x + c = 0 i s r , t h e n p r o v e t h a t r + 1 2 r = b 2 a c .

19th question

$19 . I f t h e r a t i o o f t h e r o o t s o f t h e e q u a t i o n a x^{2} + b x + c = 0 i s r, t h e n p r o v e t h a t \frac{{(r + 1)}^{2}}{r} = \frac{b^{2}}{a c} .$