the distance between the pair of parallel lines represented x^2+ax+b=0 is?

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Solution

dear student

$i f l i n e s a r e x + c 1 = 0 a n d x + c 2 = 0 d i s \tan c e b e t w e e n t h e m = |c 1 - c 2| (x + c 1) (x + c 2) = 0 x^{2} + (c 1 + c 2) x + c 1 c 2 = 0 c o m p a r i n g t o x^{2} + a x + b = 0 c 1 + c 2 = a c 1 c 2 = b |c 1 - c 2| = \sqrt{(c 1 + c 2)^{2} - 4 c 1 c 2} = \sqrt{a^{2} - 4 b}$

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