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#### Albert

##### Well-known member

- Jan 25, 2013

- 1,225

( i ) prove the following simultaneous equations (1) (2) and (3) has no real solution

$a+b+c=1-----(1)$

$a^2+b^2+c^2=2----(2)$

$a^3+b^3+c^3=3----(3)$

( ii ) using (1)(2)and(3)find the value of :

$a^4+b^4+c^4$

$a+b+c=1-----(1)$

$a^2+b^2+c^2=2----(2)$

$a^3+b^3+c^3=3----(3)$

( ii ) using (1)(2)and(3)find the value of :

$a^4+b^4+c^4$

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