Let α , β be two roots of the equation x 2 + 20 1 / 4 x + 5 1 / 2 = 0 . Then α 8 + β 8 is equal to

Question

Let &#945; , &#946; be two roots of the equation x 2 + 20 1 / 4 x + 5 1 / 2 = 0 . Then &#945; 8 + &#946; 8 is equal to

Aicharya · Accepted Answer

Given, x 2 + 20 1 / 4 x + 5 1 / 2 = 0 &#8658; x 2 + 5 = - x 20 1 4 &#8658; x 2 + 5 2 = 20 x 2 &#8658; x 4 + 5 + 2 &#215; x 2 &#215; 5 = 20 x 2 &#8658; x 4 = - 5 &#8658; x 8 = 25 So, &#945; 8 + &#946; 8 = 25 + 25 = 50

Let α , β be two roots of the equation x 2 + 20 1 / 4 x + 5 1 / 2 = 0 . Then α 8 + β 8…

Solution

Let &#945; , &#946; be two roots of the equation x 2 + 20 1 / 4 x + 5 1 / 2 = 0 . Then &#945; 8 + &#946; 8…

Solution

Let α , β be two roots of the equation x 2 + 20 1 / 4 x + 5 1 / 2 = 0 . Then α 8 + β 8…