#Can someone help for part a (roots of polynomial)

80 messages · Page 1 of 1 (latest)

ocean sonnet
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Help on part a

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ebon sinewBOT
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ocean sonnet
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Can someone help for part a (roots of polynomial)

ornate galleon
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in order for it to be an integer?

ocean sonnet
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It will be a conplex number

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Complex number

ornate galleon
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not necessarily.

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what you could do here is use vieta's.

ocean sonnet
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I got alpha equals 3+-2i

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What do i do to get the other roots

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Yes i used vieta

ornate galleon
ocean sonnet
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So its 3+2i and 3-2i

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But there is another root aswell

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…

ornate galleon
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or, better yet, solve the a+13/a+46 since you know what a is

ocean sonnet
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I cant use polynomial division with this

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And when u solve a +13/a+46

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You get alpha = 3 plusorminus 2i

ancient mortar
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divide polynomially from there

ancient mortar
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bets is another

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gamma would be found by dividing

ocean sonnet
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I dont think this question wants me to polynkmial division

ancient mortar
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i see

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ur prolly right

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i dont wanna try anything because the last root, a + 13/a +46 is smth i havent done in a while or it just looks like smth else

ocean sonnet
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Nvm i got it

ancient mortar
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i dont wanna do the wrong thing

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howd u do it

ocean sonnet
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If i sub 3+2i and 3-2i into a+13/a +46

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You get 52

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For both

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So alpha = 3-2i , 3+2i and 52

ancient mortar
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sounds good

ornate galleon
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are you sure you solved for a correctly?

ocean sonnet
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Yh

ornate galleon
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huh.

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let me solve it.

ocean sonnet
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Thanks

ornate galleon
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the polynomial to solve should be $a^2-6a+13=0$

junior spireBOT
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dark matter

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ornate galleon
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huh.

ocean sonnet
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Yh

ornate galleon
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this question feels off.

ocean sonnet
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Yh i get what u mean

ornate galleon
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the other root should be 52=13(gamma)

ocean sonnet
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Wdym

ornate galleon
ocean sonnet
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I would still get the same answer

ancient mortar
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whats vietas

ocean sonnet
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Alpha x beta x gamma gives -d/a

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In this case

ancient mortar
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is that vietas

ocean sonnet
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No

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Theres more

ancient mortar
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i see

weak notch
ancient mortar
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i js memorise the formulas

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idk the names

ornate galleon
ancient mortar
ocean sonnet
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Sorry the products

ancient mortar
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sigma a = -b/a

ocean sonnet
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Alpha times beta times gamma

ancient mortar
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sigma ab = c/a

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sigma aby= -d/a

ornate galleon
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so what about the third?

ocean sonnet
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Yh thats my question

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Could i sub it into alpha +13/alpha +46

ornate galleon
grizzled ether
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i assume you know that the roots of the polynomial multiply to 52?

ocean sonnet
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How

young lightBOT
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@ocean sonnet

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