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 α , β are the roots of 11 x 2 + 12 x - 13 = 0 , then 1 α 2 + 1 β 2 = ? (approximately close to), 4 . 54, 3 . 54, 2 . 54, 1 . 54

MARKS App · Accepted Answer

Given, 11 x 2 + 12 x - 13 = 0 Then, α + β = - 12 11 and α β = - 13 11 Now, 1 α 2 + 1 β 2 = α 2 + β 2 α 2 β 2 = α + β 2 - 2 α β α β 2 Putting the values we get, = - 12 11 2 - 2 - 13 11 - 13 11 2 = 1 . 19 + 2 . 36 1 . 39 ≈ 2 . 54

Search any question & find its solution

Looking for more such questions to practice?