Question

a+d+c=4 a2+b2+c2=10 a3+b3+c3=22 a4+b4+c4=?

Answer 1

Are these answer choices or a question?

Answer 2

its a question

Answer 3

So do you know what you are supposed to do with the numbers? Are you supposed to solve them?

Answer 4

no and you have to write it out

Answer 5

yes same like what do you mean by that

Answer 6

Can you express the 2nd, 3rd and 4th powers of the sum (a + b + c)?

Answer 7

are you trying to solve the last one?

Answer 8

Oh i think you have to try to solve the last one like YTStresss said

Answer 9

yes im trying to solve that last one

Answer 10

okay i will help one second i have to write it out

Answer 11

ok

Answer 12

no i need the the last one solved ok

Answer 13

so what do you think it is

Answer 14

First:
a+b+c=4
Squaring both sides,
a^2+b^2+c^2 + 2(ab + bc + ca) = 16
10+2(ab+bc+ca)=16
ab + bc + ca=3

Answer 15

oh ok thanks?

Answer 16

Second:
a^3+b^3+c^3 - 3abc = (a + b + c) (a^2+b^2+c^2 - (ab + bc + ca))
22-3abc=(4)(10-3)
22-3abc=28
3abc=-6
abc= -2

Answer 17

ok

Answer 18

Next:
ab + bc + ca=3
(ab)^2 + (bc)^2 + (ac)^2 + 2(ab.bc + ab.ca + bc.ca) = 9)
(ab)^2 + (bc)^2 + (ac)^2 + 2abc(a + b + c) = 9
(ab)^2 + (bc)^2 + (ac)^2 + 2(-2)(4) = 9
(ab)^2 + (bc)^2 + (ac)^2 = 25
a^2b^2 + b^2c^2 + a^2c^2 = 25

Answer 19

ok

Answer 20

well i have to go rn so i will see the chat later

Answer 21

Last:
a^2+b^2+c^2=10
a^4 + b^4 + c^4 + 2( a^2b^2 + b^2c^2 + a^2c^2) = 100
a^4 + b^4 + c^4 + 2( 25) = 100
a^4 + b^4 + c^4 + 50 = 100
a^4 + b^4 + c^4 = 50

Answer 22

oh ok