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Answer:
a^4+b^4+c^4=46
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SOLUTION :
According to question:;
a0x3+a1x²+a2x+A3=0 ( 1 )
Then, s1 =4, S2 =10 & S3= 22
Hence,
=a0 s1 + a1 = 0
=4a0 +a1 = 0
then, a1= -4a0
=a0 s2 + a1 s1 + 2a2 = 0
or, a0 10 - 4a0 × 4+ 2a2 = 0
or, 10a0 - 16a0 + 2a2 = 0
or, -6a0 +2a2 = 0
or, 2 a2 =6a0
or, a2 = 6a0/2
Then a2 = 3a0
= a0 s 3+ a2 s1 + a1 s2 +3 a3 = 0
or, 22 a0 +3a0 × 4 -4a0 × 10 + 3 a3 = 0
or, 22 a0 +12 a0 -40 a0 + 3 a3= 0
or, -6 a0 + 3 a3 = 0
or, 3 a3 = 6 a0
Then a3 = 2a0
PUTTING THE VALUE IN EQUATION NUMBER. (1)
or, x4 - 4 x3+ 3 x2 +2 x2 = 0
CHANGE THE x INTO s
THEN :
or , s4- 4 s 3 + 3 s2 + 2s = 0
or, s4- 4 × 22+ 3 × 10+ 2 × 4 = 0
or , s4- 88+ 30 + 8= 0
or,. s4 - 50 = 0
or, s4 = 50
HENCE ::
a4 + b4 + c4 = 50
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