Question

1. Find the square root of 289x^4‐612x^3+970x^2‐684x+361​

Answer 1

Answer:

Find the square root of 289x4 - 612x +970x2 - 684x + 361.

We need to find the square root of 289 x^4 – 612 x^3 + 970 x^2 – 684x+361

                                    17x^2 – 18x + 19

     -----------------------------------------------------------------------------------------------------

   17 x^2           289 x^4 – 612 x^3 + 970 x^2 – 684 x + 361

                        289 x^4

   ----------------------------------------------------------------------------------

 34x^2 – 18 x                - 612 x^3 + 970 x^2

                                      - 612 x^3 + 324x^2

---------------------------------------------------------------------------------------------

  17x^2 – 36x + 19                          646x^2 – 684x + 361

                                                        646x^2 – 684x + 361

---------------------------------------------------------------------------------------------

                                                                        0

So we get as   17x^2 – 18x + 19

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