Which of the following values of α satisfy the $$equation1+$$α$$21+2$$α$$21+3$$α$$22+$$α$$22+2$$α$$22+3$$α$$23+$$α$$23+2$$α$$23+3$$α$$2=$$−$$648$$α

Question

Which of the following values of α satisfy the $$equation1+$$α$$21+2$$α$$21+3$$α$$22+$$α$$22+2$$α$$22+3$$α$$23+$$α$$23+2$$α$$23+3$$α$$2=$$−$$648$$α

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$$1+$$α$$21+2$$α$$21+3$$α$$22+$$α$$22+2$$α$$22+3$$α$$23+$$α$$23+2$$α$$23+3$$α$$2=$$−$$648$$α                                                      •$$R2$$→$$R2$$−$$R1$$,.$$R3$$→$$R3$$−$$R21+$$α$$21+2$$α$$21+323+2$$α$$3+4$$α$$3+6$$α$$5+2$$α$$5+4$$α$$5+6$$α$$=$$−$$648$$α                                                        •$$R3$$→$$R3$$−$$R21+$$α$$21+2$$α$$21+3$$α$$23+2$$α$$3+4$$α$$3+6$$α$$222=$$−$$648$$α$$1+$$α$$21+2$$α$$21+3$$α$$23+2$$α$$3+4$$α$$3+6$$α$$111=$$−$$324$$α                                                    •$$C2$$→$$C2-C1$$ ; $$C3$$→$$C3$$−$$C21+$$α$$22$$α$$+3$$α$$22$$α$$+5$$α$$23+2$$α$$2$$α$$2$$α$$100=$$−$$324$$α                                                    •$$C3$$→$$C3$$−$$C21+$$α$$22+3$$αα$$2$$α$$23+2$$α$$2$$α$$0100=$$−$$324$$α$$2$$α−$$2$$α$$2=$$−$$324$$α⇒α$$2=$$−$$324$$−$$4=81$$⇒α$$=$$±$$9$$

Which of the following values of α satisfy the equation1+α21+2α21+3α22+α22+2α22+3α23+α23+2α23+3α2=−648α

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