Question

if alpha and bets be the roots of the equation x^2-1=0
then show that alpha+beta= 1/alpha +1/beta​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$1 \div \alpha + 1 \div \beta = \alpha + \beta$

$x ^{2} - 1 \\ x {}^{2} + 1x - 1x - 1 \\ |x + 1 ||x - 1 | = 0 \\ \alpha = 1 \: or \: \beta = - 1$

1÷1 + 1÷(-1) = 1-1

i.e. 1-1 = 1-1

0=0

Hence proved