Let a,b be real numbers such that a square minus 2 is equal to 3b minus c , b square plus four is equal to 3c plus a, c square plus 4 is equal to 3a-b Then expression a power 4 + b power 4 + c power 4 equals
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proper question alone please.edit and send again
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Answer:
9(25a
2
+b
2
)+25(c
2
−3ac)=15b(3a+c)
225a
2
+9b
2
+25c
2
−75ac=45ab+15bc
225a
2
+9b
2
+25c
2
−75ac−45ab−15bc=0
(15a)
2
+(2b)
2
+(5c)
2
−(15a)(5c)−(15a)(3b)−(3b)(5c)=0
(15a)
2
+(2b)
2
+(5c)
2
=(15a)(5c)+(15a)(3b)+(3b)(5c)
15a=3b=5c=k
b=5a and c=3a
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