Let α and β be the roots of the equation x 2 + 2 i - 1 = 0 . Then, the value of α 8 + β 8 is equal to

Question

Let &#945; and &#946; be the roots of the equation x 2 + 2 i - 1 = 0 . Then, the value of &#945; 8 + &#946; 8 is equal to

Aicharya · Accepted Answer

Since &#945; and &#946; are the roots of the equation x 2 + 2 i - 1 = 0 so &#945; 2 = - 2 i + 1 = &#946; 2 &#8658; &#945; 4 = - 2 i + 1 2 = 4 i 2 + 1 - 4 i = - 3 - 4 i &#8658; &#945; 8 = - 3 - 4 i 2 = - 7 + 24 i Similarly, &#946; 8 = - 7 + 24 i &#8756; &#945; 8 + &#946; 8 = - 14 + 48 i = 50

Let α and β be the roots of the equation x 2 + 2 i - 1 = 0 . Then, the value of α 8 + β…

Solution

Let &#945; and &#946; be the roots of the equation x 2 + 2 i - 1 = 0 . Then, the value of &#945; 8 + &#946;…

Solution

Let α and β be the roots of the equation x 2 + 2 i - 1 = 0 . Then, the value of α 8 + β…