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CBSE Class 10 Answered

Show that the equation : x^2 (a^2 +b^2) +2x (ac+bd) +( c^2+d^2) =0 has no real root. 
Asked by sucharitasahoo1 | 18 Feb, 2018, 07:35: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x squared open parentheses straight a squared plus straight b squared close parentheses plus 2 straight x open parentheses ac plus bd close parentheses plus open parentheses straight c squared plus straight d squared close parentheses equals 0
Find space discriminant space of space the space given space quadratic space equation space which space is
less space than space zero space if space roots space are space not space real.
straight D equals straight b squared minus 4 ac
rightwards double arrow straight D equals negative 4 open parentheses straight a squared straight d squared plus straight b squared straight c squared minus 2 abcd close parentheses
straight D equals negative 4 open parentheses ad minus bc close parentheses squared
straight D less than 0
The space equation space has space no space real space roots. end style
Answered by Sneha shidid | 19 Feb, 2018, 09:28: AM
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