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F i n d space t h e space z e r o s space o f space t h e space p o l y n o m i a l space x squared plus x minus p left parenthesis p plus 1 right parenthesis. [Please solve step by step because I am not able to understand the answer given in solutions.]
Asked by agraharianiruddha | 12 Jun, 2018, 09:05: AM
answered-by-expert Expert Answer
x2 + x - p(p+1) = 0
Comparing with ax2 + bx + c = 0
a = 1, b = 1, c = - p(p+1) 
begin mathsize 16px style straight x equals fraction numerator negative straight b plus-or-minus square root of straight b squared minus 4 ac end root over denominator 2 straight a end fraction straight x space equals space fraction numerator negative 1 plus-or-minus square root of 1 squared minus 4 cross times 1 cross times open square brackets negative straight p left parenthesis straight p plus 1 right parenthesis close square brackets end root over denominator 2 end fraction straight x space equals space fraction numerator negative 1 plus-or-minus square root of 1 plus 4 straight p left parenthesis straight p plus 1 right parenthesis end root over denominator 2 end fraction straight x space equals space fraction numerator negative 1 plus-or-minus square root of 1 plus 4 straight p squared plus 4 straight p end root over denominator 2 end fraction straight x space equals space fraction numerator negative 1 plus-or-minus square root of open parentheses 2 straight p plus 1 close parentheses squared end root over denominator 2 end fraction straight x space equals space fraction numerator negative 1 plus-or-minus open parentheses 2 straight p space plus space 1 close parentheses over denominator 2 end fraction straight x space equals space fraction numerator negative 1 plus 2 straight p plus 1 over denominator 2 end fraction space space or space space fraction numerator negative 1 minus 2 straight p minus 1 over denominator 2 end fraction straight x space equals space straight p space space or space space fraction numerator negative 2 minus 2 straight p over denominator 2 end fraction straight x space equals space straight p space space space or space minus 1 minus straight p end style
Answered by Sneha shidid | 12 Jun, 2018, 09:21: AM

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