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If a,b,c are real and a^2 + b^2 + c^2= 2(a-b-c)-3 the value of 2a -3b+4c is what??

Asked by sreyaonline 27th May 2016, 12:59 PM
Answered by Expert
Answer:
C o n s i d e r space t h e space g i v e n space e q u a t i o n comma
a squared plus b squared plus c squared equals 2 open parentheses a minus b minus c close parentheses minus 3
rightwards double arrow a squared plus b squared plus c squared plus 3 minus 2 a plus 2 b plus 2 c equals 0
rightwards double arrow a squared minus 2 a plus 1 plus b squared plus 2 b plus 1 plus c squared plus 2 c plus 1 equals 0
rightwards double arrow open parentheses a minus 1 close parentheses squared plus open parentheses b plus 1 close parentheses squared plus open parentheses c plus 1 close parentheses squared equals 0
rightwards double arrow a minus 1 equals 0 space a n d space b plus 1 equals 0 space a n d space c plus 1 equals 0
rightwards double arrow a equals 1 comma space b equals negative 1 space a n d space c equals negative 1
T h e n space t h e space v a l u e space o f
2 a minus 3 b plus 4 c equals 2 cross times 1 minus 3 cross times open parentheses negative 1 close parentheses plus 4 cross times open parentheses negative 1 close parentheses equals 2 plus 3 minus 4 equals 1
Answered by Expert 27th May 2016, 3:58 PM
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