Q. 3 A3.7( 3 Votes )
If x = 1 is a root of ax2 + bx + c = 0, a 
0, a, b, c 
R, prove that a + b + c = O.
Answer :
As x = 1 is a root of ax2 + bx + c = 0 hence x = 1 will satisfy the equation ax2 + bx + c = 0
Put x = 1 in ax2 + bx + c = 0
⇒ a × (1)2 + b × (1) + c = 0
⇒ a + b + c = 0
Hence proved
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