Question

find the value of b if Alpha and one upon alpha are the zero polynomial ax² + bx + c is equal to zero​

Answer 1

so , given that

$\frac{1}{ \alpha } \: and \: \alpha$

are the zeroes of polynomial ax² + bx + c = 0.

now,

by the formula,

$x + y = b$

where x & y are zeroes of the given polynomial.

$\alpha + \frac{1}{ \alpha } = b$

$\frac{ { \alpha }^{2} + 1 }{ \alpha } = \: b$

x² - (sum of zeroes) + (product of zeroes)