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CBSE Class 10 Answered

if alpha beta are the zeroes of xsquare +px +q then find the value of {alpha/beta}+{beta/alpha+2}
Asked by ajayrath7 | 07 Mar, 2019, 11:43: AM
answered-by-expert Expert Answer
f(x) = x2 + px + q = 0
 
if α and β are roots of f(x)  , then we have  α+β = - p   and  α β = q
 
begin mathsize 12px style alpha over beta space plus space beta over alpha space plus space 2 space space equals space fraction numerator alpha squared space plus space beta squared space plus space 2 alpha beta over denominator alpha space beta end fraction space equals space fraction numerator begin display style open parentheses space alpha space plus space beta space close parentheses squared end style over denominator alpha space beta end fraction space equals space p squared over q end style
Answered by Thiyagarajan K | 07 Mar, 2019, 03:54: PM

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