Question

If a and b are zeros of p(x) = x2 + x -1 , find 1 /a+1/beta. .

Answer 1

Answer:-

1

Step by step explanation

Given quadratic polynomial :

p ( x ) = x^2 + x - 1

Let alpha and beta be the zeroes of the given polynomial

$\alpha + \beta = - 1 \\ \\ \alpha \beta = - 1$

$\frac{1}{ \alpha } + \frac{1}{ \beta } \\ \\ = > \frac{ \beta + \alpha }{ \alpha \beta } \\ \\ = > \frac{ - 1}{ - 1} \\ \\ = > 1$

Hope it helps!

Answer 2

Answer:

Given that

p(x) = x² + x - 1

Let alpha and beta are zeroes of the polynomial

alpha + beta = -1

alpha × beta = -1

===> 1/alpha + 1/beta

===> beta + alpha / alpha × beta

===> -1 / -1

===> 1

1/a+1 / beta = 1