Question

if a and b are the zeroes of the polynomial x2+5x+5​

Answer 1

Answer:

x² + 5x + 5

⇒ a = 1; b = 5; c = 5

$\alpha +\beta$ = -b/a

$\alpha +\beta$ = -5/1 ------------> eq.1

$\alpha$$\beta$ = c/a

$\alpha \beta$ = 5/1------------------> eq.2

∴ the zeroes are -5 and 5.

the value of $\alpha ^-1 + \beta ^-1$

⇒ $1/\alpha$ + $1/\beta$ = $\alpha + \beta /\alpha \beta$

⇒ -5 / 5 [ from eq. 1 and eq. 2]

⇒ -1