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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
Asked by sazimkhan178 | 16 Sep, 2023, 11:27: AM
answered-by-expert Expert Answer
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
Answered by Arun | 18 Sep, 2023, 09:13: AM

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