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CBSE Class 10 Answered

if alpha and bita are the zeroes of a quadratic polynomial X^2+X-2 then find the value of(1/alpha -1/bita)
Asked by devchauhan25007 | 17 Jul, 2022, 04:29: PM
answered-by-expert Expert Answer
Hint
x2 + x - 2
x2 + 2x - x - 2
x(x + 2) - (x + 2)
(x - 1) (x + 2)
x = 1, x = -2
So these are the possible zeroes. 
 
Now simplify
1 over straight alpha minus 1 over straight beta
fraction numerator straight beta minus straight alpha over denominator αβ end fraction

Therefore the possible values are
(-3/2) or (3/2)

 
Note - a similar problem is solved here.
Answered by | 17 Jul, 2022, 06:24: PM
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