If α , β are the roots of 11 x 2 + 12 x - 13 = 0 , then 1 α 2 + 1 β 2 = ? (approximately close to)

Question

If &#945; , &#946; are the roots of 11 x 2 + 12 x - 13 = 0 , then 1 &#945; 2 + 1 &#946; 2 = ? (approximately close to)

Aicharya · Accepted Answer

Given, 11 x 2 + 12 x - 13 = 0 Then, &#945; + &#946; = - 12 11 and &#945; &#946; = - 13 11 Now, 1 &#945; 2 + 1 &#946; 2 = &#945; 2 + &#946; 2 &#945; 2 &#946; 2 = &#945; + &#946; 2 - 2 &#945; &#946; &#945; &#946; 2 Putting the values we get, = - 12 11 2 - 2 - 13 11 - 13 11 2 = 1 . 19 + 2 . 36 1 . 39 &#8776; 2 . 54

If α , β are the roots of 11 x 2 + 12 x - 13 = 0 , then 1 α 2 + 1 β 2 = ? (approximately…

Solution

If &#945; , &#946; are the roots of 11 x 2 + 12 x - 13 = 0 , then 1 &#945; 2 + 1 &#946; 2 = ? (approximately…

Solution

If α , β are the roots of 11 x 2 + 12 x - 13 = 0 , then 1 α 2 + 1 β 2 = ? (approximately…