If a + b + c = 0 and a^2+b^2+c^2=22 then what is the value of a^4+b^4+c^4?

• 242
  a+b+c=0
  a^2+b^2+c^2+2(ab+bc+ca)=0
  ab+bc+ca=-11________(1)
  a^2+b^2+c^2=22
  a^4+b^4+c^4+2(a^2b^2+b^2c^2+c^2a^2)=484___(2)
  (ab+bc+ca)^2=a^2b^2+b^2c^2+c^2a^2+2abc(a+b+c)
  11^2=a^2b^2+b^2c^2+c^2a^2(a+b+c=0)
  a^2b^2+b^2c^2+c^2a^2=121
  nw frm eq(2)
  a^4+b^4+c^4=242
• 11 years agoHelpfull: Yes(0) No(0)