Question

if α and β are zero of p(x) = x^2 +x -1 , then find 1/α + 1/β

Answer 1

Answer:

the value of 1/α+1/β

=1

therefore α+β=-b/a

and αβ=c/a

Answer 2

step by step explanation

concept

if f(X)

$= ax {}^{2} + bx + c$

and alpha and beta are the zeores of this polynomial.

then sun of zeroes

$\frac{ -b}{a}$

and product of zeroes

$\frac{c}{a}$

sᴏʟᴜᴛɪᴏɴ

sum of zeroes

$\alpha + \beta = - 1$

and

product of zeroes

$\alpha \beta = - 1$

then

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

$= \frac{ - 1}{ - 1} = 1$

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