Question

plz solve question if alpha and beta fast​

Answer 1

HOPE YOU UNDERSTAND.......

Answer 2

Answer:

The given p(x)=x²-2x-8 and find value of 1/alpha ²+1/beta ²

by middle term splitting,

= x²-2x-8=0

= x²-2x+4x-8=0

=x(x-2)+4(x-2)=0

=(x-2)(x+4)=0

So now,

x-2=0 x+4=0

x=2 x=-4

$\alpha = 2 \: \: \: \: \: \beta = - 4$

To find the value of,

$\frac{1}{ { \alpha }^{2} } + \frac{1}{ { \beta }^{2} }$

$= \frac{ { \alpha }^{2} + { \beta }^{2} }{( { \alpha \beta })^{2} }$

Now put the value,

$= \frac{ {(2)}^{2} + {( - 4)}^{2} }{ {((2)( - 4))}^{2} }$

$= \frac{4 + 16}{ 64}$

$= \frac{ 20}{ 64}$

$= \frac{5}{16}$

$<marquee>{ANSWER=5/16}</marquee>$