CBSE Class 10 Answered
the value 'p'for which polynomials x²-(p²-9)x+8has zeroes equal in magnitude but opposite in sign is
![question image](http://images.topperlearning.com/topper/new-ate/top_mob1694843854705188785d80bd026-64bc-4d86-8ee9-b87539c1c7ed.jpg)
Asked by sazimkhan178 | 16 Sep, 2023, 11:27: AM
![straight x squared minus open parentheses straight p squared minus 9 close parentheses straight x plus 8 equals 0
comparing space with space ax squared plus bx plus straight c equals 0
we space have
straight a equals 1
straight b equals negative open parentheses straight p squared minus 9 close parentheses
straight c equals 8
now
sum space of space roots space equals space fraction numerator negative straight b over denominator straight a end fraction equals 0
space fraction numerator open parentheses straight p squared minus 9 close parentheses over denominator 8 end fraction equals 0
straight p squared equals 9
straight p equals plus-or-minus 3](https://images.topperlearning.com/topper/tinymce/cache/321f964a9e4be7bf22b2dd7af74f55c8.png)
Answered by Arun | 18 Sep, 2023, 09:13: AM
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the value 'p'for which polynomials x²-(p²-9)x+8has zeroes equal in magnitude but opposite in sign is
![question image](https://images.topperlearning.com/topper/new-ate/top_mob1694843854705188785d80bd026-64bc-4d86-8ee9-b87539c1c7ed.jpg)
Asked by sazimkhan178 | 16 Sep, 2023, 11:27: AM
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