Question

If
$\alpha \: and \: \beta$
are the roots of the quadratic equation x²+x-2=0, Find the value of
${ \alpha }^{ - 1 } - { \beta }^{ - 1}$



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Answer 1

Answer:

3/2

Step-by-step explanation:

= x2+x-2=0

it's zeros are

= ( x+2 )( x-1 )

= alpha=-2 and beta=1

= solve for ( alpha^-1 ) - ( beta^-1 )

= (-2^-1) - (1^-1)

= (-1/2) - (1/1)

= 1/1 + 1/2

= l.c.m of 1 and 2 = 2

= 2+1/2

= 3/2

I hope it'll help you.....