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CBSE Class 10 Answered

If alpha and beta are the zeros of quadratic polynomial x^2+x-2 ,then value of 1/alpha-1/beta=?
Asked by sujatamallick84 | 01 Nov, 2018, 09:06: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x squared space plus space straight x space minus space 2 space
Since space straight alpha space and space straight beta space are space the space zeroes space of space straight x squared space plus space straight x space minus space 2 space.
rightwards double arrow straight x squared space plus space straight x space minus space 2 space space equals space 0 space
rightwards double arrow open parentheses straight x space plus 2 space close parentheses open parentheses straight x space minus 1 space close parentheses space equals space 0
rightwards double arrow straight x space equals space minus space 2 comma space straight x space equals space 1
rightwards double arrow straight alpha space equals space minus 2 space and space straight beta space equals space 1
Therefore space 1 over straight alpha space minus space 1 over straight beta space equals space fraction numerator 1 over denominator negative 2 end fraction space minus space 1 over 1 space equals space minus 3 over 2 end style
Answered by Yasmeen Khan | 02 Nov, 2018, 10:41: AM
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